document.write( "Question 822748: In a given regular polygon the ratio of the interior angle to the exterior angle is 7:2. How many sides are in polygon? \n" ); document.write( "
Algebra.Com's Answer #495061 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a given regular polygon the ratio of the interior angle to the exterior angle is 7:2. How many sides are in polygon? \n" ); document.write( "---- \n" ); document.write( "Let the exterior angle be \"x\" \n" ); document.write( "Then the interior angle is 180-x \n" ); document.write( "------ \n" ); document.write( "180-x/x = 7/2 \n" ); document.write( "7x = 360-2x \n" ); document.write( "5x = 360 \n" ); document.write( "x = 72 degrees \n" ); document.write( "------ \n" ); document.write( "# of sides = # of exterior angles = 360/72 = 5 \n" ); document.write( "--------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " |