SOLUTION: Calculate the number of sides a regular polygon has if an interior angle is five times of an exterior angle?please show working

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Question 414297: Calculate the number of sides a regular polygon has if an interior angle is five times of an exterior angle?please show working
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The interior + exterior = 180
I = 5E
E + I = 180
5E + E = 180
E = 36
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The sum of exterior angles for ALL polygons is 360 degs
360/36 = 10 sides