Question 948621: Explain how you would find the number of sides a regular polygon has if it's interior angle measures 144°. Found 2 solutions by Alan3354, reviewermath:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Explain how you would find the number of sides a regular polygon has if it's [sic] interior angle measures 144°.
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The easiest way is use the exterior angles = 180 - 144 = 36 degs
The sum of the exterior angles of ALL polygons is 360 degs.
n = 360/36 = 10 sides
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PS it's = it is
You can put this solution on YOUR website! Explain how you would find the number of sides a regular polygon has if it's interior angle measures 144°.
Solution:
Use the fact the the sum of the interior angles of a polygon is 180(n-2) where n is the number of sides.
Solve for n such that:
180(n-2) = 144n
180n - 360 = 144n
180n - 144n = 360
36n = 360
n = 10 sides [Answer]
