document.write( "Question 1193567: the sum of the interior angles of a polygon is 540 degrees how many sides does it have \n" ); document.write( "

Algebra.Com's Answer #825626 by ikleyn(52799) $\"\"$ $\"About$

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document.write( "The sum of interior angles of a n-gon is  180*(n-2) degrees.\r\n" );
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document.write( "In your case, equation for unknown number of sides (of vertices) is\r\n" );
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document.write( "    180*(n-2) = 540  degrees.\r\n" );
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document.write( "Divide both sides by 180\r\n" );
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document.write( "    n-2 = 540/180 = 3\r\n" );
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document.write( "     n            = 3 + 2.\r\n" );
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document.write( "ANSWER.  n = 5:  your polygon is a pentagon.\r\n" );
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