SOLUTION: The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have?

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Question 617638: The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I = (180(n-2))/n

160 = (180(n-2))/n

160n = 180(n-2)

160n = 180n-360

160n - 180n = -360

-20n = -360

n = -360/(-20)

n = 18


So the solution is n = 18, which means that there are 18 sides.