SOLUTION: The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have?

Question 714177: The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have?
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8*ext + ext = 180
ext = 20 degs
n = 360/20
n = 18 sides

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