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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.

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 a class=

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wegnerkolmp2741o

Answer:

the 8th exterior angle is 49 degrees

Step-by-step 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

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