Question

The exterior angles of an octagon are 42°, 55°, 39°, 20°, 62°, 45°, and 47°. What is the measure of the eighth exterior angle? Show equations and all work that leads to your answer.

Answer 1

The measure of the eight exterior angle is 50°

Explanation:

we know that

The sum of the exterior angles of a polygon must be equal to 360 degrees

so

In this problem

Let

x -----> the measure of the eight exterior angle

(42+55+39+20+62+45+47+x)°=360°

(310+x)°=360°

x=360°-310°=50°