Question

An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?

The polygon is

Answer 1

(n - 2) * 180 / n = interior angle measure

(n - 2) * 180 / n = 108

(n - 2) * 180 = 108n

180n - 360 = 108n

-360 = -72n

n = 5 sides pentagon

Answer 2

a polygon with an interior angle of 108 is a pentagon