SOLUTION: The exterior angle of a regular polygon is one third of its interior angle.How many sides does the polygon have?
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Question 206935: The exterior angle of a regular polygon is one third of its interior angle.How many sides does the polygon have? Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The exterior angle of a regular polygon is one third of its interior angle.How many sides does the polygon have?
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E + I = 180
I = 3E
E + 3E = 180
E = 45º
Interior angle = 135º
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Interior angle = (n-2)*180/n
135n = 180n - 360
-45n = -360
n = 8
