# Question 319ce

Mar 1, 2017

$16$

#### Explanation:

The sum of the exterior angles of a polygon is ${360}^{\circ}$

For a regular polygon with $\textcolor{red}{\text{n sides}}$

•"exterior angle "=(360^@)/color(red)(n)#

$\Rightarrow \textcolor{red}{n} = \frac{{360}^{\circ}}{\text{exterior angle}}$

$\Rightarrow n = \frac{360}{22.5} = 16$