A pentagon is any polygon that has five sides and five angles. The root of the word pentagon is “penta” which comes from the Greek word for five. “Gon” comes from the Greek word for angle. So, if you put the two words together, you get “five angles,” which corresponds to how many angles are in the shape. As I just mentioned, in ... 18 Jun 2014 ... regular polygon is a polygon whose sides are congruent (equal). The ... How do you find the measure of one interior angle of a polygon. Brian ...Feb 25, 2018 · 6 sides; Hexagon The formula to find the interior angle of a polygon is (180(n-2))/n (n being the number of sides of the polygon). Since we know the interior angle of the polygon which is 120, therefore we can produce this equation, (180(n-2))/n=120 From here we use algebra to solve n. 180n-360=120n 60n=360 n=6 therefore Polygon has 6 sides Dec 30, 2022 · How many sides does a regular polygon have if each exterior angle measures 30? a 15 sides b 12 sides c 14 sides d 11 sides. star. 5/5. heart. 10. verified. Verified ... Ex 3.2, 4 (Introduction) How many sides does a regular polygon have if each of its interior angles is 165°?Let there be a triangle ∆ ABC where ∠ A = 22° Let ∠ 1 be the exterior angle Since BAD is a line ∠ BAC + ∠1 = 180° ∠ 1 = 180° − 22° ∠ 1 = 158° So, in a polygon Interior angThe polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side. A regular polygon has n sides. Then the number of pairs of parallel sides of the polygon will be . IF n is odd, then none of the sides are parallel. If n is even, then the number of pair of ...A regular polygon has 150º as the size of each interior angle. How many sides does it have? A. 12 B. 10 C. 9 D. 8 Correct Answer: Option A Explanation. Sum of interior angles of a polygon = each interior ∠ x n (n-2)180 = 150 x n 180n - 360 = 150n 180n-150n = 360 30n = 360 n = 360/30 n = 12 sides.In order to find the value of the interior angle of a regular polygon the equation is ((n-2)180)/n where n is the number of sides of the regular polygon. Given that the interior angle is 170^o we can plug in the value into the formula 170 = ((n-2)180)/n 170n = 180n-360 -10n = -360 n = 36 Therefore the polygon has 36 sides.Oct 23, 2017 · This is calculated by using the formula to find the number of sides in a regular polygon, given the angle size. Explanation: To find out how many sides a regular polygon has, based on the size of its interior angles, you can use the formula to calculate the sum of the interior angles of a polygon: n = 180(n - 2), where . n. is the number of sides. A number of investors including Sequoia Capital India and Steadview Capital are in talks to back Polygon, which operates a framework for building and connecting Ethereum-compatible...18 Jun 2014 ... regular polygon is a polygon whose sides are congruent (equal). The ... How many sides does a regular polygon have if given one interior angle.Consider a triangle, a polygon with three sides. The sum of the interior angle measures is #180˚#. Consider any quadrilateral, a polygon with four sides. The sum of the interior angles measures #360˚#. We can therefore deduce that for each polygon with an additional side has #180˚# more than the previous figure. This forms an arithmetic series.Answer: n n = 5 sides side length a = inradius r = circumradius R = area A = perimeter P = interior angle x = exterior angle y = Get a Widget for this Calculator © …25 Oct 2017 ... Therefore, this polygon has 36 sides. TheXSquaredFactor Oct 25, 2017. 1 ...Jun 15, 2022 · The sum of the interior angles of a polygon is \(4320^{\circ}\). How many sides does the polygon have? The sum of the interior angles of a polygon is \(3240^{\circ}\). How many sides does the polygon have? What is the measure of each angle in a regular 16-gon? What is the measure of each angle in an equiangular 24-gon? 1）A polygon is a shape that has STRAIGHT sides. 2）They MUST have sides that are closed. 3）They also NEED to have at least three sides. 4）They have the same …The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side. Let 'n' be the number of sides of the polygon. Then the sum of the interior angles of the polygon is given as, Sum of angles = (n - 2) × 180° If the sum of the interior angle measures of a ... A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides). A minimum of three line segments is required to connect end to end, to make a closed figure. Thus a polygon with a minimum of three sides is known as Triangle and ... If a regular polygon has exterior angles that measure 36° each, how many sides does the polygon have?Jan 11, 2016 · 24 The exterior angles of a polygon always add up to 360 degrees. Given this a regular polygon, all the angles are equal and all the sides are equal. The number of sides is therefore 360/15 = 24 Diagonals of a polygon are the lines that connect the alternate vertices of the polygon. A polygon of n sides has n(n-3)/2 diagonals. A polygon is a closed figure with n sides (where n is always greater than equal to 3). ... Sample Problems on Diagonals of a Polygon. Problem 1: How many diagonals does a hexagon have, find using the …21 Oct 2013 ... regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon ...A polygon is a plane figure that has “at least three straight sides and angles,” according to Oxford Dictionaries. However, polygons can have more than three sides; most have five ...What is the number of sides a regular polygon has if one interior angle measures 170? The regular polygon number of sides 'n' has angles = (n-2)X180/n So, 170=(n-2)X180/n 170n=180n-360 10n=360 n=36. Hence, the polygon has 36 sides.To find the number of sides of a polygon when the exterior angle is given, we use the formula: Measure of an exterior angle of a regular polygon = 360 ∘ n. where. n is the number of sides. Example: If each exterior angle of a polygon is 36, find the number of sides. 36 ∘ = 360 ∘ n.An Equilateral Triangle (3 sides) has 3 Lines of Symmetry. A Square (4 sides) has 4 Lines of Symmetry. A Regular Pentagon (5 sides) has 5 Lines of Symmetry. A Regular Hexagon (6 sides) has 6 Lines of Symmetry. A Regular Heptagon (7 sides)Regular heptagon. A regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/7 radians (128 4 ⁄ 7 degrees).Its Schläfli symbol is {7}.. Area. The area (A) of a regular heptagon of side length a is given by: = . This can be seen by subdividing the unit-sided heptagon into seven triangular "pie slices" with vertices at the center and …The polygon has 20 sides. So, n = 20. Sum of the exterior angles of polygons = 360° So, each exterior angle = 360°n = 360°20 = 18° Example 4: The sum of the interior angles of a polygon is 1620°. How many sides does it have? Solution: Sum of the interior angles of a polygon with n sides = (n – 2) × 180° 1620° = (n – 2) × 180° n ...If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer Suryin =) Dec 19, 2015 the polygon is *heptagon (7-sided polygon) Explanation: Sum of interior ...Dec 30, 2022 · How many sides does a regular polygon have if each exterior angle measures 30? a 15 sides b 12 sides c 14 sides d 11 sides. star. 5/5. heart. 10. verified. Verified ... a polygon has 170 diagonals. how many sides does it have, a polygon has 27 diagonals how many sides does it have, a polygon has 54 diagonals how many sides, a polygon has 77 diagonals, a polygon has 77 diagonals determine the number of sides, a polygon has 90 diagonals how many triangles, a polygon of n sides has n(n-3)/2 diagonals, a polygon ... The formula for the no. of diagonals of a ’n' sided polygon is n (n-3)/2 . It works for triangle (0 diagonals) , quadrilateral (2 diagonals) , pentagon (5 diagonals) and for every another polygon. Let's come to the problem. No. Of diagonals = n (n-3)/2 = 27. The polygon has 9 sides. It is a Nonagon.The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.Jul 9, 2017 · How many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer sjc Jul 9, 2017 #18 " sides "# ... The polygon has 20 sides. So, n = 20. Sum of the exterior angles of polygons = 360° So, each exterior angle = 360°n = 360°20 = 18° Example 4: The sum of the interior angles of a polygon is 1620°. How many sides does it have? Solution: Sum of the interior angles of a polygon with n sides = (n – 2) × 180° 1620° = (n – 2) × 180° n ... If a regular polygon has exterior angles that measure 36° each, how many sides does the polygon have?A pentagon is any polygon that has five sides and five angles. The root of the word pentagon is “penta” which comes from the Greek word for five. “Gon” comes from the Greek word for angle. So, if you put the two words together, you get “five angles,” which corresponds to how many angles are in the shape. As I just mentioned, in ... 21 Oct 2013 ... regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon ...21 Oct 2013 ... regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon ...We can learn a lot about regular polygons by breaking them into triangles like this: Notice that: the "base" of the triangle is one side of the polygon. the "height" of the triangle is the "Apothem" of the polygon. Now, the area of a triangle is half of the base times height, so: Area of one triangle = base × height / 2 = side × apothem / 2. A polygon of n sides has n vertices. By joining any two vertices of a polygon, we obtain either a side or a diagonal of the polygon. Number of line segments obtained by joining the vertices of a n sided polygon taken two at a time. = Number of ways of selecting 2 out of n. =n C2 = n(n−1) 2. Out of these lines, n lines are the sides of the ...2 Apr 2019 ... How many sides does a regular polygon have if each of its interior angles is 165°? Murali April 2, 2019, 5:37am 2.A polygon has the same number of interior angles as it does sides. Figure \(\PageIndex{1}\) The sum of the interior angles in a polygon depends on the number of …The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle. Therefore, the number …6 sides; Hexagon The formula to find the interior angle of a polygon is (180(n-2))/n (n being the number of sides of the polygon). Since we know the interior angle of the polygon which is 120, therefore we can produce this equation, (180(n-2))/n=120 From here we use algebra to solve n. 180n-360=120n 60n=360 n=6 therefore …The interior angle of a regular polygon is 156 deg. Hence each exterior angle is 180–156 = 24 deg. So the polygon has 360/24 = 15 sides. Suggest Corrections. 122.12 sides. By the Exterior Angle Formula, the sum of the exterior angles in any polygon is 360°. Since the polygon is regular, all the angles are congruent. This is very important: if the polygon was not regular, the exterior angles could be 30°, 170°, and 160°! Anyway, we can name the number of sides s and the number of angles a. Because …Apr 28, 2022 · A 3-sided polygon has 0 parallel sides. A 4-sided polygon can have 0, 2 or 4 parallel sides. A 5-sided polygon can have 0, 2, 3 or 4 parallel sides. In general, an n-sided polygon can have 0, 2, 3, ..., n-1, or n parallel sides where n>5. A polygon with n sides can have n pairs of parallel sides (if n is even) or (n-1)/2 pairs if n is odd AND greater than 3. But it need not have any. Mar 16, 2020 · In any polygon a pair of sides that are inclined to each other meet at a point. This point is called a vertex of the polygon. In the polygon there are as many vertices as there are sides. The triangle has 3 sides and 3 vertices. 3 May 2021 ... the number of sides of a regular polygon given the exterior angle. To do this divide 360 by the number of sides. If you have the interior ...If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer Suryin =) Dec 19, 2015 the polygon is *heptagon (7-sided polygon) Explanation: Sum of interior ...I believe it may be a 20-sided polygon (a 20-gon). Usually the interior and exterior angles add up to 180. 180 - 162 = 18 So 18 is the exterior angle. Since the exterior angles add up to 360 degrees 360/18 = 20 There you have your answer.Dec 13, 2016 · 18 sides A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°. For a regular polygon, the size of each exterior angle, theta can be found from: theta = (360°)/n" "larr where n = number of sides Using this property, if you know the size of the exterior angle, you can find the number of sides. n = (360°)/(20°) =18 ... A circle is a regular polygon of infinite number of sides. Consider 10000 sides of a regular polygon. Each exterior angle will be 360/10000 = 0.036 deg. It may insignificant for viewing, nevertheless it is an angle. Watch on.Best Answer. Copy. The interior angles of any n-sided polygon always total (2n - 4) right angles or 180n - 360 degrees. In this instance (180n - 360)/n = 172 ie 180n - 360 = 172n which simplifies to 8n = 360 so there are 360/8 ie 45 sides to your polygon. Another method is based on the fact that the exterior angles are 360/n degrees.Aug 3, 2023 · How many Sides does a Polygon Have. It should have a minimum of three sides but can have any maximum number of sides. A polygon is usually named based on the number of sides it contains. A polygon with n sides is called an n-gon. Given below is the list of common polygons: 2 Apr 2019 ... How many sides does a regular polygon have if each of its interior angles is 165°? Murali April 2, 2019, 5:37am 2.Verified by Toppr. Number of diagonals in any n sided polygon is = Total Number of Lines connected two points − Total number of sides of polygon. So we have n points so total number of lines is =n C2, because we have to choose two points from n points. Total number of sides = n. So Number of diagonals = n(n−1) 2 −n. Number of diagonals ... The polygon will have 40 sides. The measure of the interior angles of a polygon is determined by the formula ((n - 2)180)/n = interior angle measure were n is the number of angles and sides of the polygon. We know that the interior angles of the polygon in the question have measures of 171^o ((n - 2)180)/n = 171^o ((n - 2)180) = …The formula for the no. of diagonals of a ’n' sided polygon is n (n-3)/2 . It works for triangle (0 diagonals) , quadrilateral (2 diagonals) , pentagon (5 diagonals) and for every another polygon. Let's come to the problem. No. Of diagonals = n (n-3)/2 = 27. The polygon has 9 sides. It is a Nonagon.What is the number of sides a regular polygon has if one interior angle measures 170? The regular polygon number of sides 'n' has angles = (n-2)X180/n So, 170=(n-2)X180/n 170n=180n-360 10n=360 n=36. Hence, the polygon has 36 sides.The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.The number of sides in a polygon can vary, and different polygons have different shapes and side lengths. For example, a triangle has three sides, a quadrilateral has four …Oct 23, 2017 · This is calculated by using the formula to find the number of sides in a regular polygon, given the angle size. Explanation: To find out how many sides a regular polygon has, based on the size of its interior angles, you can use the formula to calculate the sum of the interior angles of a polygon: n = 180(n - 2), where . n. is the number of sides. The formula for the no. of diagonals of a ’n' sided polygon is n (n-3)/2 . It works for triangle (0 diagonals) , quadrilateral (2 diagonals) , pentagon (5 diagonals) and for every another polygon. Let's come to the problem. No. Of diagonals = n (n-3)/2 = 27. The polygon has 9 sides. It is a Nonagon.Apr 28, 2022 · How many sides does a regular polygon with an interior angle of 176 degrees have? Interior angles = 176 degrees so exterior angles = 180 - 176 = 4 degrees. Sum of exterior angles = 360 so there must be 360/4 = 90 of them. It is a 90 sided polygon. The sides of a regular polygon are the line segments that make it up. Try this Adjust the regular polygon below by dragging any orange dot, or alter the number of sides. The length of the sides will change. The formulas below give the length of the side of regular polygon given the number of sides and either the radius or apothem.Nov 30, 2015 · How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles ... 3 Jan 2017 ... polygon: https://www.youtube.com/watch?v=GwR-a_AbCzk&index=4&list=PLJ-ma5dJyAqqalHHGSXIWntL6VUBkony4 Sum of exterior angle of polygons is ...12 sides. By the Exterior Angle Formula, the sum of the exterior angles in any polygon is 360°. Since the polygon is regular, all the angles are congruent. This is very important: if the polygon was not regular, the exterior angles could be 30°, 170°, and 160°! Anyway, we can name the number of sides s and the number of angles a. Because …By joining any two vertices of a polygon, we obtain either a side or a diagonal of the polygon. Number of line segments obtained by joining the vertices of an n sided polygon taken two at a time. Out of these lines, n lines are the sides of the polygon. Therefore, Number of diagonals of the polygon = n ( n − 1) 2 − n = n ( n − 3) 2.Jul 9, 2017 · How many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer sjc Jul 9, 2017 #18 " sides "# ... Number of diagonals of a convex polygon of n sides is (n(n-3))/2 Let there be a polygon ( I am assuming a convex polygon) of n sides. Let us consider its one vertex. This does not form a diagonal with itself as well as immediate two neighbouring vertices, hence it can for diagonals with remaining (n-3) vertices, (n-3) diagonals Hence …Find a formula that relates the sides of a polygon to the total diagonals that it has. eg: 3 sided polygon, 0 diagonals, 4 sided, 2 diagonals, 5 sided, 5 diagonals, 6 sided, 9 diagonals, 7 sided, 14 diagonals, 8 sided, 20 diagonal, etc.A polygon of n sides has n vertices. By joining any two vertices of a polygon, we obtain either a side or a diagonal of the polygon. Number of line segments obtained by joining the vertices of a n sided polygon taken two at a time. = Number of ways of selecting 2 out of n. =n C2 = n(n−1) 2. Out of these lines, n lines are the sides of the ...Verified. Hint: We are given a regular polygon whose exterior angle is 15 degrees and we have to find the sides of the polygon. We know that the sum of the exterior angles of a polygon is \ [ { {360}^ {\circ }}\]. So, if we divide the total sum of the exterior angle of a polygon by the exterior angle, then, we will get the value of the number ...25 Jun 2022 ... |How many sides does a regular polygon have if each of its interior angle a 165°| #understandingquad. maths with aarna•3.6K views · 2:15.Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180 (n-2)/n, where n is the number of sides of the polygon. Explanation: …Web3 gaming firm Immutable and layer-2 blockchain Polygon partnered to accelerate development and adoption in the crypto gaming space. Web3 gaming firm Immutable and layer-2 blockc...The Polygon angle theorem states that the sum of all interior angles is equal 180(n-2), where n is the number of sides, which is also equal to the number of interior angles. Therefore, knowing the measure of of one interior angle (150 per problem definition), the sum of all interior angles could be written as 150n.You can put this solution on YOUR website! the sum of the interior angles is 2700 degrees. the sum of the interior angles of a polygon is given by the equation: s = (n-2)*180 where: s = the sum of the interior angles. n = the number of sides of the polygon. given that s = 2700, this equation becomes: 2700 = (n-2)*180.The ratio between the exterior angle and interior angle of a regular polygon is 1: 4. Find the number of sides in the polygon. Find the number of sides in the polygon. View SolutionPolygon definition. A polygon is a plane figure that closes in a space using only line segments. If it must use only line segments and must close in a space, the polygon with the fewest sides has to be the triangle (three sides and interior angles). Polygon; the word means "many angles," but it ignores one attribute: straight sides.A polygon has the same number of interior angles as it does sides. Figure \(\PageIndex{1}\) The sum of the interior angles in a polygon depends on the number of …How many sides does polygon has, store manager salary at starbucks, anderson township plane crash
The key is to recognise that the paper’s edge forms a quadrilateral with the shown part of the polygon. Since the two angles that aren’t part of the polygon add up to 80 o , and a quadrilateral’s angles add up to 360 o , you can conclude that the polygon angles add up to 280 o , and therefore each angle in the polygon is 140 o .. How many sides does polygon has
bus from ny to baltimore md18 May 2018 ... How many sides does polygon P have? (1) All sides of P have equal lengths. (2) The sum of the measures of the interior angles of P is ...The Polygon angle theorem states that the sum of all interior angles is equal 180(n-2), where n is the number of sides, which is also equal to the number of interior angles. Therefore, knowing the measure of of one interior angle (150 per problem definition), the sum of all interior angles could be written as 150n.We can have a 360-sided polygon with each side having an arc of 1 degree, but you can go smaller than 1 degree and argue that you can go with 0.000001 degree and have the …If you know the number of sides (n) you can find the size of each exterior angle of a regular polygon. 360 ÷ n = θ. Interior angle 168° → exterior angle = 180° −168° = 12°. 360 ÷ 12° = 30 sides. Answer link. 360 div 12° = 30 sides The only number that stays the same for the angles of all polygons is that the sum of the exterior ...Regular star polygons can be created by connecting one vertex of a simple, regular, p-sided polygon to another, ... The {5/2} star pentagon is also known as a pentalpha or pentangle, and historically has been considered by many magical and religious cults to have occult significance. The {7/2} and {7/3} ...The Greeks invented the word "polygon" probably used by the Greeks well before Euclid wrote one of the primary books on geometry around 300 B.C. "polygon" has been used in English since around 1560 The word comes from two parts: "poly-" = many "-gon" = angle (or knee) Apr 28, 2022 · Best Answer. Copy. It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon. Wiki User. Use the exterior angle sum property of the polygon to find the number of sides: It is given that a regular polygon has the measure of an exterior angle 24 °. (number of sides) × (the measure of each exterior angle) = 360 ° [Using exterior …In a polygon, there are 5 right angles and the remaining angles are equal to 1 9 5 ∘ each. Find the number of sides in the polygon. Find the number of sides in the polygon. MediumAnswer – A regular polygon with each interior angle measuring 165° has 24 sides. Let’s assume that the number of sides of the given regular polygon is n. Then, the number of interior angles = the number of sides = n. Further, the sum of the interior angles = the measure of each interior angle the number of sides. We also know that the sum ...How many sides does a regular polygon have if each of its interior angle is 165 ∘? Q. If each interior angle of a regular polygon is 150 ∘ , how many sides does this polygon have?6 sides; Hexagon The formula to find the interior angle of a polygon is (180(n-2))/n (n being the number of sides of the polygon). Since we know the interior angle of the polygon which is 120, therefore we can produce this equation, (180(n-2))/n=120 From here we use algebra to solve n. 180n-360=120n 60n=360 n=6 therefore …25 Oct 2017 ... Therefore, this polygon has 36 sides. TheXSquaredFactor Oct 25, 2017. 1 ...Sep 28, 2016 · 360/60 = 6 " sides" The sum of the exterior angles of any Polygon is 360°. If it is a regular polygon you can find the size of an exterior angle by dividing 360° by the number of sides. If you know the size of the exterior angle, just do the opposite. Divide 360° by the size of the exterior angle to find the number of sides. Ext angle = 360/n Number ofsides: n = 360/"ext angle" 360/60 = 6 ... 360o 72o = 5. The Regular Polygon with Exterior Angles of 72o is a Pentagon. Answer link. See a solution process below: The Exterior Angles of a Regular Polygon always add up to 360°: Therefore, we can divide 360^o by 72^o to find the number of sides: 360^o/72^o = 5 The Regular Polygon with Exterior Angles of 72^o is a Pentagon.18 Jun 2014 ... Comments172 · How to determine the number of sides of a regular polygon, given one interior angle · Interior and Exterior angles of polygons · ...25 Oct 2016 ... If the exterior angle is 18° there are 20 sides. It is impossible for a regular polygon to have interior angles of 18°.Verified. Hint: We are given a regular polygon whose exterior angle is 15 degrees and we have to find the sides of the polygon. We know that the sum of the exterior angles of a polygon is \ [ { {360}^ {\circ }}\]. So, if we divide the total sum of the exterior angle of a polygon by the exterior angle, then, we will get the value of the number ...Feb 6, 2024 · Polygon Calculator. Use this calculator to calculate properties of a regular polygon. Enter any 1 variable plus the number of sides or the polygon name. Calculates side length, inradius (apothem), circumradius, area and perimeter. Calculate from an regular 3-gon up to a regular 1000-gon. Units: Note that units of length are shown for convenience. An irregular polygon has one angle 126 degrees and the rest 162 degrees. how many sides are there in this irregular polygon? ... Therefore your polygon has 10 sides. Share. Cite. Follow answered May 3, 2018 at 2:48. Joseph Joseph. 1 $\endgroup$ 1. 1 $\begingroup$ might be good to justify why do you do those operations. $\endgroup$ – …How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees? The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees). Related questions.A regular polygon has interior angles of 144 degrees. How many sides does the polygon have? 0 . 999 . 2 . A regular polygon has interior angles of 144 degrees. How many sides does the polygon have?1）A polygon is a shape that has STRAIGHT sides. 2）They MUST have sides that are closed. 3）They also NEED to have at least three sides. 4）They have the same …A polygon can have any number of sides that is three or greater. The number of sides determines the type of polygon; for example, a triangle has three sides, a …Consider a triangle, a polygon with three sides. The sum of the interior angle measures is #180˚#. Consider any quadrilateral, a polygon with four sides. The sum of the interior angles measures #360˚#. We can therefore deduce that for each polygon with an additional side has #180˚# more than the previous figure. This forms an arithmetic series.A circle is a regular polygon of infinite number of sides. Consider 10000 sides of a regular polygon. Each exterior angle will be 360/10000 = 0.036 deg. It may insignificant for viewing, nevertheless it is an angle. Watch on.An apeirogon can be defined as a partition of the Euclidean line into infinitely many equal-length segments. In geometry, an apeirogon (from Ancient Greek ἄπειρος apeiros 'infinite, boundless', and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the two-dimensional case of ...Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 1015 " sides" with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360^o one exterior angle =180-one interior angle :." one ext.< "=180-156=24^o no of sides =360/24=15sidesReview · Polygon means “many sided.” · Regular polygons are both equilateral and equiangular. · An exterior angle of a polygon is the angle between one side of...Join BYJU'S Learning Program. 11. A polygon has 170 diagonals. How many sides will it have? A) 12 B) 17 C) 20 D) 25.Nov 20, 2023A polygon has 90 diagonals. How many sides does it have? (A) 12 (B) 13 (C) 14 (D) 15 (E) 16 Self madeThe number of sides is the same as the number of vertices. Answer link. 40 If the interior angle is 171^@ then the exterior angle is 180^@-171^@ = 9^@. The total of the exterior angles is 360^@, so the number of vertices must be 360^@/9^@ = 40. The number of sides is the same as the number of vertices.I believe it may be a 20-sided polygon (a 20-gon). Usually the interior and exterior angles add up to 180. 180 - 162 = 18 So 18 is the exterior angle. Since the exterior angles add up to 360 degrees 360/18 = 20 There you have your answer.Apr 28, 2022 · A 3-sided polygon has 0 parallel sides. A 4-sided polygon can have 0, 2 or 4 parallel sides. A 5-sided polygon can have 0, 2, 3 or 4 parallel sides. In general, an n-sided polygon can have 0, 2, 3, ..., n-1, or n parallel sides where n>5. A polygon with n sides can have n pairs of parallel sides (if n is even) or (n-1)/2 pairs if n is odd AND greater than 3. But it need not have any. How many sides does a polygon have with 1620 degrees? An 11 sided polygon has interior angles that add up to 1620 degrees. How many sides would a polygon have if the measure of the interior angles is 1620 degrees? It will have 11 sides.If a regular polygon has exterior angles that measure 36° each, how many sides does the polygon have? Geometry. 1 Answer Cesareo R. Aug 26, 2016 #n = 10# ... Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180 (n-2)/n, where n is the number of sides of the polygon. Explanation: …In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex, star or skew.In the limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area is fixed, or a …A polygon can have any number of sides that is three or greater. The number of sides determines the type of polygon; for example, a triangle has three sides, a …Nov 21, 2023 · Polygons aren't limited to the common ones we know but can get pretty complex and have as many sides as are needed. They can have 4 sides, 44 sides, or even 444 sides. The polygon will have 40 sides. The measure of the interior angles of a polygon is determined by the formula ((n - 2)180)/n = interior angle measure were n is the number of angles and sides of the polygon. We know that the interior angles of the polygon in the question have measures of 171^o ((n - 2)180)/n = 171^o ((n - 2)180) = …A regular convex polygon with an exterior angle measure of 20° has 18 sides. Explanation: When a regular convex polygon has an exterior angle measure of 20°, we can use the formula 360° divided by the exterior angle to find the number of sides. In this case, 360° divided by 20° equals 18. Therefore, the polygon has 18 sides.Final answer: If a regular polygon has interior angles each measuring 165 degrees, the polygon has 24 sides. This is calculated by using the formula to find the number of sides in a regular polygon, given the angle size. Explanation: To find out how many sides a regular polygon has, based on the size of its interior angles, you can use …Join BYJU'S Learning Program. 11. A polygon has 170 diagonals. How many sides will it have? A) 12 B) 17 C) 20 D) 25.What is the number of sides a regular polygon has if one interior angle measures 170? The regular polygon number of sides 'n' has angles = (n-2)X180/n So, 170=(n-2)X180/n 170n=180n-360 10n=360 n=36. Hence, the polygon has 36 sides.Jun 26, 2019How many sides does a polygon have when the sum of the measure of its interior angles is 900? The formula for the sum of the measures of the interior angles of a regular polygon is (n-2)180. Set this equal to 900 and solve for n to find the number of sides in the polygon. 900 = 180(n-2) 900 = 180n - 360 180n = 1260 n = 1260/180 n = 7 ...How many sides does the polygon have? A. $$5$$ Open in App. Solution. Verified by Toppr. Correct option is A. $$5$$ Given, each side of a rectangular polygon is $$2.5$$ cm. Also give the perimeter of the polygon is $$12.5$$ cm. Then number of sides of the polygon $$=\dfrac{12.5}{2.5}=5$$.An apeirogon can be defined as a partition of the Euclidean line into infinitely many equal-length segments. In geometry, an apeirogon (from Ancient Greek ἄπειρος apeiros 'infinite, boundless', and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the two-dimensional case of ...The polygon has 20 sides. So, n = 20. Sum of the exterior angles of polygons = 360° So, each exterior angle = 360°n = 360°20 = 18° Example 4: The sum of the interior angles of a polygon is 1620°. How many sides does it have? Solution: Sum of the interior angles of a polygon with n sides = (n – 2) × 180° 1620° = (n – 2) × 180° n ... a regular polygon has one interior angle that measures 160 degrees. how many sides does it have?-----Since it's a regular polygon, all the interior angles are equal, so they're all 160 degs. The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degs. 160 = 180*(n-2)/n 160n = 180n - 360-20n = -360How many sides has the polygon? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer Binayaka C. Dec 21, 2017 The polygon is Hexakaidecagon having #16# sides. Explanation: Exterior angle of regular polygon of #n# sides is #E=360/n# Interior angle ...Nov 8, 2016 · The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have? 14 16 18 20 Dec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? Mar 16, 2020 · In any polygon a pair of sides that are inclined to each other meet at a point. This point is called a vertex of the polygon. In the polygon there are as many vertices as there are sides. The triangle has 3 sides and 3 vertices. if you mean the sum of the interior angles, then it is 8640. the formula you use to find the sum of the interior angles of a polygon is (n-2)180, n being the number of sides. in this problem, you would plug in 50 for n, so 50-2=48, and 48x180=8640.Apr 28, 2022 · How many sides would a polygon have whose interior angles are exactly 179 degrees? Interior angles of any polygon with n sides always add up to 180(n-2) degrees. If a polygon is a regular polygon with n sides, and each interior angle is 179 degrees, then its interior angles will add up to 179 n. 25 Oct 2016 ... If the exterior angle is 18° there are 20 sides. It is impossible for a regular polygon to have interior angles of 18°.A certain polygon has three angles that measure 120 degrees and the rest of its angles measure 150 degrees. How many sides does the polygon have? That polygon has 9 sides ( 9-2) * 180 = 1260 ( 3 * 120 ) + ( 6 * 150 ) = 1260The number of diagonals in any polygon is = n (n−3)/2. Given that this is equal to 27, we have that n (n−3)=2⋅27=54. , => n2−3n−54=0. Now you could just try values of n until you find one that works (shouldn’t take too long) or you could solve the quadratic equation if you know how to do that. n2−3n−54=0. We can have a 360-sided polygon with each side having an arc of 1 degree, but you can go smaller than 1 degree and argue that you can go with 0.000001 degree and have the corresponding number of sides. However, since there are an infinite number of fractions between two numbers, we can go infinitely many times and get n amount of sides based on ... 5 Feb 2022 ... VIII-Exercise 3.2 Q.4 How many sides does a regular polygon has if each of its interior angle is165. KEY 4 LEARNING + AXIOM COACHING CLASS ...A regular polygon has interior angles that are 5 times larger than each of its exterior angles. How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles of a dodecagon are #30^@#, so they sum to #12xx30^@ = 360^@# The interior angles ...The Polygon angle theorem states that the sum of all interior angles is equal 180(n-2), where n is the number of sides, which is also equal to the number of interior angles. Therefore, knowing the measure of of one interior angle (150 per problem definition), the sum of all interior angles could be written as 150n.If the sum of interior angles of a polygon is 1080°, then the polygon has ____ sides. View Solution. Q4. If each interior angle of a regular polygon is 150°, then the polygon has ___ sides. View Solution. Q5. How many sides does a regular polygon has if each of it's interior angle is 120 ...The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.A polygon is a plane figure that has “at least three straight sides and angles,” according to Oxford Dictionaries. However, polygons can have more than three sides; most have five ...18 Jun 2014 ... Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines.A regular convex polygon with an exterior angle measure of 20° has 18 sides. Explanation: When a regular convex polygon has an exterior angle measure of 20°, we can use the formula 360° divided by the exterior angle to find the number of sides. In this case, 360° divided by 20° equals 18. Therefore, the polygon has 18 sides.Each exterior angle of a regular polygon measures 30 degrees How many sides does the polygon have? A regular polygon has equal angles and sides. Therefore, consider 0 degrees as a starting direction. At every corner, you turn 30 degrees to the left, until you end up back where you started. A full rotation is 360 degrees. Divide by 30, and …How many sides does the polygon have? Found 3 solutions by solver91311, MathLover1, Alan3354: Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website! The measure in degrees of an interior angle of a regular polygon is given by . Given that the measure is 150°, we can say:If an interior angle of a regular polygon measures 144 degrees how many sides does it have ? Geometry. 1 Answer Mahek ☮ Mar 16, 2018 #color(magenta)(=10 # sides. Explanation: To find the no. of sides, we first need to find the measurement of the exterior angle. Exterior angle ...The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side. A regular polygon has n sides. Then the number of pairs of parallel sides of the polygon will be . IF n is odd, then none of the sides are parallel. If n is even, then the number of pair of ...Get free real-time information on MATIC/JPY quotes including MATIC/JPY live chart. Indices Commodities Currencies Stocks18 Jun 2014 ... regular polygon is a polygon whose sides are congruent (equal). The ... How many sides does a regular polygon have if given one interior angle.Think about it: How could a polygon have 4.5 sides? A quadrilateral has 4 sides. A pentagon has 5 sides.. Texas roadhouse discount code, bee costume diy