Each interior angle has a measure of 156°
WebJan 11, 2016 · As each triangle has 180°, you can find the sum of the interior angles of the polygon: For an n -sided polygon there are (n −2) triangles. The sum of the interior angles is therefore 180°(n −2) In a 15 -sided polygon: Sum interior angles = 180(15 − 2) = 180 × 13 = 2340°. Each interior angle of the regular polygon = 2340° 15 = 156°. WebEach interior angle of a regular polygon measures 156°. How many sides does the polygon have? A: 13 B: 14 C: 15 D: 16 It's not 14, I can tell you that. I don't know why it's …
Each interior angle has a measure of 156°
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WebQuestion 1 ( 3 points) Each interior angle of a regular polygon measures 156 degrees. Using formulas on your formula sheet, algebraically a) determine the number of sides … WebJun 15, 2024 · Just divide the sum of the angles by the number of sides. Regular Polygon Interior Angle Formula: For any equiangular n−gon, the measure of each angle is (n − …
WebFinal answer. Question 2 (3 points) Each interior angle of a regular polygon measures 156 degrees. Using formulas on your formula sheet, algebraically a) determine the number of … WebSolution. 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. 74. …
WebFeb 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) = … Web6 years ago. So if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take 540+180=720. …
WebMay 30, 2011 · If the interior angle measures 156 degrees, this means that the exterior angle is equal to 180 - 156 = 24 degrees. Dividing this by the full 360 degrees of a circle, …
WebApr 6, 2024 · Solution: The figure shown above has three sides and hence it is a triangle. Sum of interior angles of a three-sided polygon can be calculated using the formula as: Sum of interior angles = (p - 2) 1800. 600 + 400 + (x + 83)0 = (3 - 2) 1800. 1830 + x = 1800. x = 1800 - 183. fitted christmas tableclothWeb6 years ago. So if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees. Same thing for an octagon, we take the 900 from ... can i drive a motorcycleWebNov 22, 2024 · => n = 360/24 = 180/12 = 90/6 = 15 . => n = 15 sides. Therefore ,The polygon with each interior angle 156° has 15 sides. How many sides does an equiangular polygon have if each interior angle measures 150? 12 Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12. What polygon has an interior angle … can i drive a motorhome on my car licence ukWebJan 10, 2016 · As each triangle has 180°, you can find the sum of the interior angles of the polygon: For an n -sided polygon there are (n −2) triangles. The sum of the interior … fitted chinosWebFeb 3, 2024 · The measure of each interior angle of a regular polygon is 156° - 34558682. harshrajputana565333 harshrajputana565333 04.02.2024 Math ... Answer: True. Step-by … fitted childrens shoes ukWebOct 31, 2024 · Here each triangle has has 180°. so the sum of the interior angles of the 15 sided polygon must be 13 × 180 = 2340° . 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a … fitted circle skirtWebExpert Answer. 100% (2 ratings) Transcribed image text: The measure of an interior angle of a regular polygon is given. Find the number of sides in the polygon. 2. 156 Find the measure of each interior angle. 3.RS … can i drive another car if i am fully comp