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)\"\" \"About 
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( "
\n" );