document.write( "Question 1050530: the ratio between an exterior angle and an interior angle is 2:3 find the number of sides in polygon \n" ); document.write( "
Algebra.Com's Answer #666112 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The exterior and interior angles add to 180 degrees \n" ); document.write( "2:3 \n" ); document.write( "2x+3x=180 \n" ); document.write( "5x=180 \n" ); document.write( "x=36 degrees \n" ); document.write( "72:108 \n" ); document.write( "The exterior angles are 72 degrees; the interior are 108 degrees. \n" ); document.write( "(n-2)/n*180=108; (n-2)/n=108/180; cross-multiply and 108n=180n-360; -72n=-360;n=5 \n" ); document.write( "It is a pentagon. \n" ); document.write( " |