Question 248416: How do you find the number of sides of a regular polygon when only given the measure of the Interior Angle? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! How do you find the number of sides of a regular polygon when only given the measure of the Interior Angle?
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Make use of the fact that the sum of the exterior angles is 360 degrees.
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Example: If an interior angle is 120, the corresponding exterior angle
is 60.
If the polygon is regular all the exterior angles are 60.
The number of exterior angles is 360/60 = 6
So the number of sides is 6.
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Cheers,
Stan H.