Chapter 11.3, Problem 35IP

To determine

To find the measure of an exterior angle of a regular 15-gon.

Answer to Problem 35IP

  ${24}^0$

Explanation of Solution

Given:

A regular 15-gon.

Formula used:

Exterior angle of a given polygon: $\frac{{360}^0}{n}$ where $n$ is the number of sides of the polygon.

Calculation:

In case of a 15-gon, $n=15.$

Now according to the formula of finding the measure of exterior angle of a polygon,

  $\Rightarrow \frac{{360}^0}{n}$

Now putting $n=15$ ,

  $\Rightarrow \frac{{360}^0}{15}={24}^0$

  $\Rightarrow {24}^0$

Conclusion:

Therefore, the measure of an exterior angle of a regular 15-gon is ${24}^0$ .