SOLUTION: If each angle of a regular polygon has measure 160, how many sides does the polygon have?

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Question 258119: If each angle of a regular polygon has measure 160, how many sides does the polygon have?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that you intended to write "...each "interior" angle of a..."
The measure of an interior angle (A) of a regular polygon of n sides is given by:
A+=+%28n-2%29%2A180%2Fn Substitute A = 160.
160+=+%28n-2%29%2A180%2Fn Solve for n.
160%2An+=+180%2An-360
20n+=+360
n+=+18
The regular polygon has 18 sides.