Question

The measure of an exterior angle of a regular polygon is 40º. Find the number of sides of the polygon?

Answer 1

Explanation:

exterior angle is 360 degree

n=40 degree

360/n=360/40

9

the number of sides of the polygon is 9

Answer 2

If e = measure of each exterior angle and n = number of sides, then
n = 360/e

In our case, we have e = 40, so,
n = 360/e
n = 360/40
n = 9

We have a nine sided regular polygon (also known as a regular nonagon)