Question 948621
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]