SOLUTION: How many sides does a polygon with an interior angle measure of 120 degrees have?

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Question 157554: How many sides does a polygon with an interior angle measure of 120 degrees have?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that you mean a "regular" polygon!
The measure of an interior angle, A, of a regular polygon of N sides is given by:
A+=+%28N-2%29180%2FN Substitute A = 120 degrees.
120+=+%28N-2%29180%2FN Multiply both sides by N.
120N+=+180N-360 Subtract 120N from both sides.
0+=+60N-360 Add 360 to both sides.
360+=+60N Finally, divide both sides by 60.
N+=+6
The regular polygon has 6 equal sides and is called a hexagon.