document.write( "Question 558206: Calculate the exterior angle of a regular polygon in which the interior angle is four times the exterior angle. Hence find the number of sides in the polygon. \n" ); document.write( "
Algebra.Com's Answer #362977 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Calculate the exterior angle of a regular polygon in which the interior angle is four times the exterior angle. Hence find the number of sides in the polygon. \n" ); document.write( "------- \n" ); document.write( "Exterior: x \n" ); document.write( "Interior: 4x \n" ); document.write( "--- \n" ); document.write( "x + 4x = 180 \n" ); document.write( "x = 36 degrees \n" ); document.write( "----- \n" ); document.write( "Sum of ALL exterior angles is 360 degrees. \n" ); document.write( "# of exterior angles = 360/36 = 10 \n" ); document.write( "--- \n" ); document.write( "# of sides = 10 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================ \n" ); document.write( " |