document.write( "Question 855787: I am a regular polygon with one exterior angle of 20 degrees. What is the sum of my interior angles? \n" ); document.write( "

Algebra.Com's Answer #515565 by KMST(5328) $\"\"$ $\"About$

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The measures of the $\"n\"$ exterior angles, each measuring $\"20%5Eo\"$ , add up to $\"360%5Eo\"$ , so
\n" ); document.write( " $\"n%2A20%5Eo=360%5Eo\"$ --> $\"n=360%5Eo%2F20%5Eo\"$ --> $\"n=18\"$ .
\n" ); document.write( "THe polygon has $\"18\"$ exterior angles, $\"18\"$ sides, $\"18\"$ vertices, $\"18\"$ interior angles.
\n" ); document.write( "Each interior angle is supplementary to the adjacent exterior angle,
\n" ); document.write( "so each interior angle measure $\"180%5Eo-20%5Eo=160%5Eo\"$ .
\n" ); document.write( "The sum of the measures of the $\"18\"$ interior angles, each measuring $\"160%5Eo\"$ is
\n" ); document.write( " $\"18%2A160%5Eo=highlight%282880%5Eo%29\"$ . \n" ); document.write( "

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