Question

The number of sides of a regular polygon whose each exterior angle has a measure of ${45}^o$ is __________.

• A. $4$
• B. $6$
• C. $8$
• D. $10$

Answer 1

The correct option is C $8$

The exterior angle of a regular polygon is $\frac{360}{n}$.

Given, ${45}^{\circ }$

$\Rightarrow \frac{360}{n}=45$

$\Rightarrow n=8$