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

kaevras is correct.

Step-by-step

The sum of all the sides equals 310. And 360 - 310 = 50.

Answer 2

The sum of exterior angles of a polygon = 360°

Thus, the eighth exterior angle is equal to
360° - (42° + 55° + 39° + 20° + 62° + 45° + 47°) = 50°