Question 187068: how do you find the number of sides when you have the interior angle?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! how do you find the number of sides when you have the interior angle?
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Assuming it's a regular polygon, all the angles and sides are equal,
The sum of all the interior angles is (n-2)*180, n = number of sides.
The interior angles, then, are (n-2)*180/n.
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A = (180n - 360)/n
------------------Solve for n
An = 180n - 360
n(A - 180) = -360
n = 360/(180 - A)
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Not all values of A work, n has to be an integer.
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