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 8th exterior angle is 49 degrees

Explanation:

The sum of the exterior angles of an octagon is 360 degrees

(this is true for all polygons)

42°+55°+ 39°+ 20°+ 62°+45°,+ 47+x = 360

combine like terms

311+x=360

subtract 311 from each side

311-311 +x = 360-311

x=49