document.write( "Question 240151: If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it. \n" ); document.write( "
Algebra.Com's Answer #176042 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If the interior angle of a regular polygon is 5 times the exterior angle, then how many sides does the polygon have? Please tell me how to do it. \n" ); document.write( "------------ \n" ); document.write( "An interior, exterior pair are always supplementary. \n" ); document.write( "You have x + 5x = 180 \n" ); document.write( "6x = 180 \n" ); document.write( "x = 30 \n" ); document.write( "------- \n" ); document.write( "The exterior angle is 30 degrees. \n" ); document.write( "-------------------------------------------- \n" ); document.write( "Note: The sum of the exterior angles is always 360 degrees. \n" ); document.write( "-------------------------------------------- \n" ); document.write( "# of exterior angles = 360/30 = 12 \n" ); document.write( "------------------ \n" ); document.write( "# of sides = # of exterior angles = 12 \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |