document.write( "Question 1018924: One interior angle of a convex polygon is 160 degrees. The rest of the interior angles of the polygon are each 112 degrees. How many sides does the polygon have? \n" ); document.write( "

Algebra.Com's Answer #635018 by ikleyn(52832) $\"\"$ $\"About$

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\n" ); document.write( "One interior angle of a convex polygon is 160 degrees. The rest of the interior angles of the polygon are each 112 degrees. How many sides does the polygon have?
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document.write( "Your equation is \r\n" );
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document.write( "160 + (n-1)*112 = (n-2)*180,   or\r\n" );
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document.write( "160 + 112n - 112 = 180n - 360,   or\r\n" );
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document.write( "180n - 112n = 160 - 112 + 360,   or\r\n" );
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document.write( "68n = 408,\r\n" );
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document.write( "n =  = 6.\r\n" );
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