# What is one exterior angle of a regular 16-gon measures?

Feb 11, 2017

${22.5}^{0}$

#### Explanation:

for any regular polygon the exterior angles add up to ${360}^{0}$

so $\text{1 "ext./_=360/n " where "n=" the number of sides}$

for a 16-gon 1 " ext. /_=360/16=22.5^0

If you wanted the size of 1 interior angle subtract this from ${180}^{0}$

thus: $1 \text{ int.} \angle = 180 - 22.5 = {157.5}^{0}$