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 ... 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 · ...65. The equation to figure the number of diagonal lines for any polygon is n (n-3)/2. n= number of vertices. It will have 13 sides because 0.5* (132-39) = 65 diagonals.Feb 28, 2018 · Anyway, we can name the number of sides s and the number of angles a. Because every polygon has the same number of sides and angles (because they are closed figures with non-intersecting lines), a=s. Since all the angles are congruent, 30a=360, and a=12. Since a=s, s=12, so the polygon has 12 sides. (This polygon has a short name: a dodecagon). 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.Jun 3, 2018 · Explanation: The sum of the interior angles of a regular polygon is given by: Where n is the number of sides. We are given 150∘ for each angles. So, The polygon has 12 sides. color (blue) (12) The sum of the interior angles of a regular polygon is given by: 180^@n-360 Where bbn is the number of sides. Lets call the sum S Then: 180^@n-360=S ... 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 …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.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.Victoria V. sorry, Mark is right. It is n-2 that is multiplied by 180, this would change the answer to 22 = n-2, so n=24 and polygon has 24 sides.A regular polygon of n sides has an exterior angle whose measure is 12 degrees larger than the measure of the exterior angle of the regular polygon with n 1 sides. Find n and name the type of polygon that has n sides. arrow_forward. The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is 8cm, how long ...A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same: Triangle - 3 Sides. Square - 4 Sides. Pentagon - 5 Sides. Hexagon - 6 sides. Heptagon - 7 Sides. Octagon - 8 Sides. Nonagon - 9 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...If a regular polygon has exterior angles that measure 36° each, how many sides does the polygon have?The number of sides of a regular polygon can be calculated by using the interior and exterior angles, which are, respectively, the inside and outside angles created by the connecting sides of the polygon. For …22 Jun 2021 ... ∴ The regular polygon has 8 sides. Additional Information. 1) Regular Polygon: If all sides of any polygon are equal, the polygon is called a ...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: …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°. 65. The equation to figure the number of diagonal lines for any polygon is n (n-3)/2. n= number of vertices. It will have 13 sides because 0.5* (132-39) = 65 diagonals.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.Th measure of an interior angle (a) of a regular polygon of n sides is given by: Set this equal to 170 and solve for n. Multiply both sides by n. Simplify the right side. Subtract 170n from both sides. Add 360 to both sides. Finally, divide both sides by 10. The regular polygon has 36 sides.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? 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 ... 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 = -36022 Jun 2021 ... ∴ The regular polygon has 8 sides. Additional Information. 1) Regular Polygon: If all sides of any polygon are equal, the polygon is called a ...12 May 2017 ... This is a video about How Many Sides Does A Polygon Have Subscribe for more video ▷▷ http://bit.ly/2Mjf4tw #NEW VIDEO# ...It'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? Show Answer. Use formula to find a single exterior angle in reverse and solve for 'n'.Apr 26, 2017 · If the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon have? Get the answers you need, now! if the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon - brainly.com 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 …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 …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 ... 15 " 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=15sides18 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.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.Apr 28, 2022 · The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/n. If the interior angle is 11 times the exterior angle, then: 180 (n-2)/n = 11 x 360/n. then: 180 n - 360 = 11 x 360, or. 180 n = 12 x 360. that its solution gives n = 24. Accordingly, the answer is that the number of sides of this polygon ... 6 days ago ... how many sides does the polygon haveDo all polygons have 4 sides? Can a polygon have 12 sides? Does a polygon have 8 sides?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.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.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 · ...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. In both cases, you must get the same result for what the interior angles add up to. So: 179n = 180 (n-2). Multiply out the 180. -n = -360, so therefore n = 360 and it would have 360 sides.10. If an interior angle of a regular polygon measures 144 degrees, how many sides does it have? 24. If an exterior angle of a regular polygon measures 15 degrees, how many sides does it have? 146 degrees. If the measures of a heptagon are 127 degrees, 152 degrees, 112 degrees, 123 degrees, 135 degrees, and 105 degrees, what is the measure of ... 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.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 ...Sum of Angles of a Polygon. , how many sides does this polygon have? Click here:point_up_2:to get an answer to your question :writing_hand:how many sides does a regular polygon has if each of its interior angle is.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...The first polygon has 1982 sides and second has 2973 sides. If the polygons have common vertices , the number of such vertices is \(\text{_____}.\) Submit your answer. Given the regular octagon of side length 10 with eight equilateral triangles inside, calculate the white area to 3 decimal places.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.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. 122.18 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 ...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 …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.The 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.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 …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.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.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.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.Think about it: How could a polygon have 4.5 sides? A quadrilateral has 4 sides. A pentagon has 5 sides.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.65. The equation to figure the number of diagonal lines for any polygon is n (n-3)/2. n= number of vertices. It will have 13 sides because 0.5* (132-39) = 65 diagonals.Apr 26, 2017 · If the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon have? Get the answers you need, now! if the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon - brainly.com 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.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)If a regular polygon has magnitude of symmetry 15 degrees. Then the polygon has 24 sides. The magnitude of symmetry of a regular polygon refers to the smallest angle of rotation by which the polygon can be rotated and still appear unchanged. In other words, it is the smallest angle by which the polygon can be rotated to coincide with its ... 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. MediumThe 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.Polygon has 12 sides - it is dodecagon. As the measure of the exterior angles of a regular polygon are 1/5 times the measure of its interior angles, each exterior angle of the regular polygon too will be 1/5 times the measure of its interior angle. Let the exterior angle be x and then interior angle would be 5x and as their sum is always …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.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 ...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 ... 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 ...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.AboutTranscript. To find the interior angle sum of a polygon, we can use a formula: interior angle sum = (n - 2) x 180°, where n is the number of sides. For example, a pentagon has 5 sides, so its interior angle sum is (5 - 2) x 180° = 3 x 180° = 540°. Created by Sal Khan.Nov 30, 2015 · How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles ... 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 …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.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.23 Jan 2023 ... If the polygon has n sides, the sum of its interior angles is 180*(n - 2) degrees. 180*(n - 2) = 7560 (n - 2) = 7560/180 = 42 n = 42 + 2 ...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 …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. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides… Polygon Names. The names of polygons are derived from the ...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. 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. MediumA 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.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. $\endgroup$ – …. 23,984 We can observe different types of polygons in our daily eNumber of sides a regular polygon has. 1. Rotation angle of regular po Get free real-time information on CHF/MATIC quotes including CHF/MATIC live chart. Indices Commodities Currencies Stocks Nov 21, 2023 · Polygons aren't limited to the common ones we know 1 Answer. Obviously the question is worded wrongly. In any polygon, the number of diagonals is one less than a triangular number, and 60+1=61 is not triangular. … Oct 10, 2023 · A regular convex polygon with an exte...
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