document.write( "Question 1122221: The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have ? \n" ); document.write( "
Algebra.Com's Answer #738289 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "It is possible if and only if each interior angle is twice its exterior angle.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Since these angles are supplementary, it is possible only if all interior angles are 120 degrees each.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the polygon has 6 sides (hexagon).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |