SOLUTION: How do you find the number of sides in a polygon if the interior angle is given?

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Question 258984: How do you find the number of sides in a polygon if the interior angle is given?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
If you are given the number of degrees of one interior angle, then use this formula
%28180%28n-2%29%2Fn%29 = degrees of single interior angle
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EX: suppose one interior angle is 135 degrees. We use this formula to get
%28180%28n-2%29%2Fn%29+=+135
multiply by n to get
180%28n-2%29+=+135n
distribute to get
180n-360+=+135n
solving for n we get
45n+=+360
n+=+8
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If you are given the total number of degrees in a polygon, then to find the number of sides, use this formula:
180%2A%28n-2%29+=+360
This will give you the number of n sides.