Question

If the measure of an interior angle of a regular polygon

is 60°, find the number of sides of the polygon

Answer 1

3 sides

Explanation:

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

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

Cross multiply

60n = {n - 2}180

Dividing through by 60

n = (n - 2)3

n = 3n - 6

3n - n = 6

2n = 6

n = 6/2

n = 3