SOLUTION: a regular polygon has one interior angle that measures 160 degrees. how many sides does it have? i don't know how to do it.

Question 183959: a regular polygon has one interior angle that measures 160 degrees. how many sides does it have? i don't know how to do it.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a regular polygon has one interior angle that measures 160 degrees. how many sides does it have?
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Since it's a regular polygon, all the interior angles are equal, so they're all 160 degs.
The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degs.
160 = 180*(n-2)/n
160n = 180n - 360
-20n = -360
n = 18 sides

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