SOLUTION: Determine the ratio of an interior angle to an exterior angle of a regular 12-gon.

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Question 958326: Determine the ratio of an interior angle to an exterior angle of a regular 12-gon.
Answer by macston(5194) About Me  (Show Source):
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The measure of an interior angle of a regular polygon is given by:
%28n-2%29%28180%29%2Fn where n=number of sides
So for a dodecagon (regular 12-sided polygon)
%2812-2%29%28180%29%2F12=150 The interior angles measure 150 degrees.
Since interior and exterior angles are supplementary:
180 degrees-150 degrees=30 degrees The exterior angles are 30 degrees
The ratio of interior:exterior angles is 5:1 for a dodecagon.