Question

The measure of each interior angle of a regular polygon is 156°. Find the number of sides.

Answer 1

15 sides

Explanation:

Interior angle = {n - 2}{180/n}

156 = {n - 2}{180/n}

Cross multiply

156n = {n - 2}180

156n = 180n - 360

180n - 156n = 360

24n = 360

n = 369/24

n = 15