Chapter 11.5, Problem 32PPS

To determine

To calculate: The measure of an exterior angle of a regular octagon.

Answer to Problem 32PPS

The measure of an exterior angle of a regular octagon = ${45}^0$ .

Explanation of Solution

Given information: A regular octagon given. Sum of all the exterior angles of a regular polygon is ${360}^0$ .

Formula used: The measure of an exterior angle of a regular polygon = $\frac{{360}^0}{n}$ , when n = number of sides of the polygon.

Calculation:

We know that, sum of all the measures of a regular polygon is ${360}^0$ .

In a octagon, the total number of sides = 8.

So here, n = 8.

The measure of an exterior angle of a regular octagon = $\frac{{360}^0}{8}={45}^0$ .