Question

If the measure of one interior

angle of a regular polygon is
160, find the number of sides.

Answer 1

18 sides

Explanation:

Since it's a regular polygon, all the interior angles are equal, so they're all 160 degrees.

The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degrees.

160 = 180*(n-2)/n

160n = 180n - 360

-20n = -360

n = 18 sides