document.write( "Question 739409: How can I find the number of sides of a polygon when given only one exterior angle? \n" ); document.write( "
Algebra.Com's Answer #451107 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "The sum of the measures of the exterior angles of a polygon, one at each vertex, is always \"360\"°.\r
\n" ); document.write( "\n" ); document.write( "When you have a regular polygon, all the exterior angles have the same measure, as long as you measure corresponding angles at each vertex.
\n" ); document.write( "So, the angle measure in degrees = \"360%2Fn\" where \"n\" the number of vertices in the polygon, and the number of vertices equals the number of \"sides\".\r
\n" ); document.write( "\n" ); document.write( "examples:\r
\n" ); document.write( "\n" ); document.write( "1.\r
\n" ); document.write( "\n" ); document.write( "if the angle measure is, for example\"30\" degrees, the \"360%2Fn=30\" => \"360=30n\"\r
\n" ); document.write( "\n" ); document.write( "=> \"360%2F30=n\"=> \"12=n\"; so, the polygon has 12 sides\r
\n" ); document.write( "\n" ); document.write( "or, \r
\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( "if the exterior angle measures \"120\" degrees, we will have\r
\n" ); document.write( "\n" ); document.write( "\"360%2Fn=120\" => \"360=120n\"\r
\n" ); document.write( "\n" ); document.write( "=> \"360%2F120=n\"=> \"3=n\"; the polygon has \"3\" sides\r
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