document.write( "Question 958326: Determine the ratio of an interior angle to an exterior angle of a regular 12-gon. \n" ); document.write( "

Algebra.Com's Answer #585693 by macston(5194) $\"\"$ $\"About$

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The measure of an interior angle of a regular polygon is given by:
\n" ); document.write( " $\"%28n-2%29%28180%29%2Fn\"$ where n=number of sides
\n" ); document.write( "So for a dodecagon (regular 12-sided polygon)
\n" ); document.write( " $\"%2812-2%29%28180%29%2F12=150\"$ The interior angles measure 150 degrees.
\n" ); document.write( "Since interior and exterior angles are supplementary:
\n" ); document.write( "180 degrees-150 degrees=30 degrees The exterior angles are 30 degrees
\n" ); document.write( "The ratio of interior:exterior angles is 5:1 for a dodecagon. \n" ); document.write( "

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