Question 1100971: In a regular polygon each exterior angle is 150 greater that each exterior. Calculate the number of sides
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The interior and exterior angle together measure 180 degrees.
By algebra or otherwise, you can determine that the interior angle is 165 degrees and the exterior angle is 15 degrees.
Then since the sum of all the exterior angles is always 360 degrees, the number of exterior angles, and therefore the number of sides of the polygon, is 360/15 = 24.
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