# What is the measure of each exterior angle of a regular 16-gon?

May 10, 2017

${22.5}^{\circ}$

#### Explanation:

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

$\text{for a regular polygon with "color(red)(n)" sides}$

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

$\Rightarrow \text{exterior angle } = \frac{{360}^{\circ}}{16} = {22.5}^{\circ}$