SOLUTION: The exterior angle of a regular polygon is one third of its interior angle how many sides has the polygon?

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Question 1083626: The exterior angle of a regular polygon is one third of its interior angle how many sides has the polygon?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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If x is the measure of the exterior angle, then the measure of the interior angle is 3x.


Then your equation is x + 3x = 180 degs, which implies x = 45 degs.


Thus the exterior angle is 45 degs.


Then the number of sides is n = 360%2F45 = 8.


      ( The sum of exterior angles of any (convex) polygon is 360 degs ).