27 Sept 2017 ... Question From- Ncert Maths Class 8 Chapter 3.2 Example Question - 4 Linear Equations In One Variable Cbse Rbse Up Mp Bihar Board ...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?an octagon is a polygon. an octagon has 8 sides. a polygon is a shape with closed sides. If the sum of the interior angle measures of a polygon is 1440 how many sides does the polygon have? The polygon would have 10 sides.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 ...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.Step 1. We need to find the number of sides of a polygon if the exterior angle of a regular polygon measures... View the full answer Step 2. Unlock. Step 3. Unlock. Answer. Unlock. Previous question Next question. 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 ...Answer: 20 sides. Work Shown: E = exterior angle = 18 degrees. n = number of sides of a regular polygon. n = 360/E. n = 360/18. n = 20. This is a 20 sided regular polygon.It is considered a regular icosagon.How many Sides does a polygon have with 175.2 degree angles? Updated: 4/28/2022. Wiki User. ∙ 11y ago. Study now. See answer (1) Best Answer. Copy. If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides. Wiki User. ∙ 11y ago. This answer 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 …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.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. Best Answer. Copy. You can find the number of diagonals in a polygon using the formula n (n-3)/2, where n is the number of sides. Therefore an 11 sided polygon has 44 diagonals. Wiki User. ∙ 9y ago.How many Sides does a polygon have with 175.2 degree angles? Updated: 4/28/2022. Wiki User. ∙ 11y ago. Study now. See answer (1) Best Answer. Copy. If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides. Wiki User. ∙ 11y ago. This answer is:Jun 28, 2022 · 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 ... 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.Regular polygon has 50 sides. As each interior angle is 172.8^@, each exterior angle is 180^@-172.8^@=7.2^@ But as sum of exterior angles is always 360^@ there are 360/7.2=50 angles Hence, regular polygon has 50 sides.A pentagon is the name for a five-sided polygon. However, there are different types of five-sided polygons, such as irregular, regular, concave and convex pentagons. If, in a five-...A pentagon has 5 sides, and can be made from three triangles, so you know what ..... its interior angles add up to 3 × 180° = 540° And when it is regular (all angles the same), then each angle is 540° / 5 = 108° (Exercise: make sure each triangle here adds up to 180°, and check that the pentagon's interior angles add up to 540°) The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.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 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: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 ... Nov 20, 2023Answer – 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 …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.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 of sides = 360° / 36° = 10 sides. Hence, …The sum of the interior angles of a polygon is (n-2) 180, where n is the number of sides. In a regular polygon, each of those angles is equal, so each interior angle has a value of: (n-2)180/n. We are given the interior angle is 135, so we can use the above formula to solve for n. 135 = (n-2)180/n. 135n = 180n - 360-45n = -360. n = 8It's possible to figure out how many sides a polygon has based on how many degrees are in its exterior or interior angles. Problem 11 If each exterior angle measures 10°, how many sides does this polygon have? 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 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.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.Each exterior angle is 180-165 = 15 degrees and so it has 360/15 = 24 sides. It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.Crypto wallet Phantom will soon expand its support to include Ethereum and Polygon blockchains across browsers, iOS and Android. Phantom, a crypto wallet for Solana blockchain user...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 ...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 ... The sum of the interior angles in a polygon depends on the number of sides it has. The Polygon Sum Formula states that for any n − gon, the interior angles add up to ( n − 2) × 180 ∘. → n = 8 ( 8 − 2) × 180 ∘ 6 × 180 ∘ 1 080 ∘. Once you know the sum of the interior angles in a polygon it is easy to find the measure of ONE ...Answer by jerryguo41 (197) ( Show Source ): You can put this solution on YOUR website! So to solve this, you have to know one of two conditions. 1)All Regular polygons exterior angles = 360 degrees. 2)Exterior angle is 180-interior angle. 3)Set equation for exterior angles. x=number is sides. 4)There are 360 in a regular polygon that has 179 ...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 …For the pentagon, this results in a polygon whose angles are all (360 − 108) / 2 = 126°. To find the number of sides this polygon has, the result is 360 / (180 − 126) = 6 2 ⁄ 3, which is not a whole number. Therefore, a pentagon cannot …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 …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. How Many Sides Does a Regular Polygon Have (With Examples) ... As we know, a polygon is any shape having three or more sides, a regular polygon can be made of any ...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.Jan 31, 2023 · Download Article. 1. Define the formula. The formula to find the number of diagonals of a polygon is n (n-3)/2 where “n” equals the number of sides of the polygon. Using the distributive property this can be rewritten as (n 2 - 3n)/2. You may see it either way, both equations are identical. How many sides does the polygon have if it has an interior angle which is 3 times the exterior angle? Providing that it is a regular polygon it will have 8 sides. If a regular polygon has an interior angle of 157.5 degrees how many sides does?Best Answer. Copy. 48 sides. A formula for finding the number of sides of a regular polygon given an interior angle: 360/ (180-angle)=sides. Wiki User.Nov 10, 2023 · The polygon has 8 sides. Explanation: To find the number of sides in a polygon given the sum of the interior angle measures, we can use the formula: Sum of Interior Angle Measures = (n - 2) * 180° Where 'n' represents the number of sides in the polygon. In this case, we plug in the given value: 1080° = (n - 2) * 180° Simplifying the equation ... 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 pentagon has 5 sides, and can be made from three triangles, so you know what ..... its interior angles add up to 3 × 180° = 540° And when it is regular (all angles the same), then each angle is 540° / 5 = 108° (Exercise: make sure each triangle here adds up to 180°, and check that the pentagon's interior angles add up to 540°) 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 How many sides does a regular polygon have if the measure of an angle is 160? No regular polygon has 160. The "smallest" polygon is the triangle, which has 180o. ^^FALSE!!!!!!! this polygon has 18 sides!Each interior angle of a polygon is 135. How many sides does it have? (a) 10. (b) 8. (c) 6. (d) 5. Q. Tick ( ) the correct answer: Each interior angle of a polygon is 108°.In this case: 1 " int. <"=180-160=20^0 "No. of sides "=360/20=18. Geometry . Science ... 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 "# Explanation: with regular polygons it is best to remember that: ...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.If the ratio of interior to exterior angle of a regular polygon is 5:1, how many sides does the polygon have? View Solution. Q2. A regular polygon has an interior angle of 168 0. How many sides does the polygon have? View Solution. Q3.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 …The n stands for the number of sides the polygon has. So, a pentagon has exterior angles that measure 360 / 5 = 72 degrees. The second angle is called the interior angle, which is the ...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 ...If the ratio of interior to exterior angle of a regular polygon is 5:1, how many sides does the polygon have? View Solution. Q2. Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 10.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. 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 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 ... Measure of each interior angle = 165°. Measure of each exterior angle = 180° - 165° = 15° [Since, an interior and an exterior angle forms a linear pair] Number of sides = Sum of exterior angles / Each exterior angle. = 360° / 15. = 24. Hence, the regular polygon has 24 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3.Jan 16, 2023 · Polygons are straight-sided, flat shapes that close in a space. This means every polygon: Is two-dimensional. Uses only line segments to create its sides. Has an interior and exterior. The word "polygon" comes from the Greek and means "many angles," because all simple polygons have as many sides as they have 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 ...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.For the pentagon, this results in a polygon whose angles are all (360 − 108) / 2 = 126°. To find the number of sides this polygon has, the result is 360 / (180 − 126) = 6 2 ⁄ 3, which is not a whole number. Therefore, a pentagon cannot …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 …Crypto wallet Phantom will soon expand its support to include Ethereum and Polygon blockchains across browsers, iOS and Android. Phantom, a crypto wallet for Solana blockchain user...The n stands for the number of sides the polygon has. So, a pentagon has exterior angles that measure 360 / 5 = 72 degrees. The second angle is called the interior angle, which is the ...Oct 18, 2017 · We have that the sides of the polygon is mathematically given as. n=20. Option C. From the question we are told . A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have? 10 12 18 20. Arithmetic. Generally the equation for the Polygon exterior angle is mathematically given as. n ... 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. Get free real-time information on MATIC/JPY quotes including MATIC/JPY live chart. Indices Commodities Currencies Stocks15 " 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=15sidesFor the pentagon, this results in a polygon whose angles are all (360 − 108) / 2 = 126°. To find the number of sides this polygon has, the result is 360 / (180 − 126) = 6 2 ⁄ 3, which is not a whole number. Therefore, a pentagon cannot …Let us find the number of sides a regular polygon with an interior angle of 108°. ⇒ 180(n−2)/n = 108° ⇒ 180n − 360 = 108n. ⇒ 72n = 360. ⇒ n = 5. So, a regular polygon with an interior angle of 108° would have 5 sides. Hence, we can use the formula of interior angle of a polygon to find the number of sides of a polygon. interior ... 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 …
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.. Fallout 4 railroad code
Answer: D. 12. Step-by-step explanation: Since it is a regular polygon, all of its interior angles are equivalent. Now, we know that for regular polygons, if we divide the exterior angle measure into 360, we get the number of sides, which means we have a …A polygon with seven sides is called a heptagon. A polygon is a closed geometric shape that has at least three sides and angles. Polygons consist of adjoining line segments and are...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 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 ... 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.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.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. How many sides does a polygon with 65 diagonals have? Therefore polygon of 13 sides have 65 diagonals. How many sides do hexagons have? six In geometry, a hexagon (from Greek ἕξ, hex, meaning “six”, and γωνία, gonía, meaning “corner, angle”) is a six-sided polygon or 6-gon.The polygon has 5 sides. Therefore, the total sides of the polygon is 5, the polygon with 5 sides is known as pentagon. Advertisement Advertisement 1Angel25 1Angel25 Ur question's solution is on the pic⏫⏫.. Advertisement Advertisement New questions in Math. 36. Beti bachao,Beti padhao is a personal compaign of Government …Solution. The correct option is A 5. A diagonal is formed by joining opposite vertices. A polygon with 5 sides has 5 diagonals. Suggest Corrections. 7.Answer – 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 …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. Feb 18, 2016 · 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) = 171^o(n) 180n - 360 = 171n -360 = 171n-180n -360 = -9n -360/-9 ... It has five sides and five angles, all of which are the same length or size. The shape on the right is an irregular pentagon. Each side is a different length. Each angle is a different ….