Question

question 20 of 25
if a regular polygon has exterior angles that measure 40° each, how many sides does the polygon have?
a. 9
b. 10
c. 8
d. 6

Explanation:

Step1: Recall exterior - angle formula

The sum of exterior angles of any polygon is $360^{\circ}$.

Step2: Calculate number of sides

Let $n$ be the number of sides. We know that each exterior angle $\theta = 40^{\circ}$. Using the formula $n=\frac{360^{\circ}}{\theta}$, we substitute $\theta = 40^{\circ}$ into it. So $n=\frac{360}{40}=9$.

Answer:

A. 9