document.write( "Question 258984: How do you find the number of sides in a polygon if the interior angle is given? \n" ); document.write( "
Algebra.Com's Answer #190677 by drk(1908)\"\" \"About 
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If you are given the number of degrees of one interior angle, then use this formula
\n" ); document.write( "\"%28180%28n-2%29%2Fn%29\" = degrees of single interior angle
\n" ); document.write( "--
\n" ); document.write( "EX: suppose one interior angle is 135 degrees. We use this formula to get
\n" ); document.write( "\"%28180%28n-2%29%2Fn%29+=+135\"
\n" ); document.write( "multiply by n to get
\n" ); document.write( "\"180%28n-2%29+=+135n\"
\n" ); document.write( "distribute to get
\n" ); document.write( "\"180n-360+=+135n\"
\n" ); document.write( "solving for n we get
\n" ); document.write( "\"45n+=+360\"
\n" ); document.write( "\"n+=+8\"
\n" ); document.write( "--
\n" ); document.write( "If you are given the total number of degrees in a polygon, then to find the number of sides, use this formula:
\n" ); document.write( "\"180%2A%28n-2%29+=+360\"
\n" ); document.write( "This will give you the number of n sides.
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