Question 876933: How do I find the number of sides a polygon has by the measurement of one interior angle?
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! If the polygon is a REGULAR polygon, then the
measurement of one interior angle (IA) is equal to
((n-2)*180) / n, where n is the number of sides of the regular polygon, therefore if you know the measure of IA, you can calculate n, that is
IA = ((n-2)*180) / n
IA*n = (n-2) * 180
IA*n = 180n - 360
IA*n - 180n = -360
n(IA - 180) = -360
n = -360 / (IA - 180)
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