document.write( "Question 1191938: How many sides does a polygon have if the sum of its interior angles is 7 times the sum of its exterior angles? \n" ); document.write( "
Algebra.Com's Answer #823795 by Theo(13342)![]() ![]() You can put this solution on YOUR website! sum of interior angles = (n-2)*180 \n" ); document.write( "sum of exterior angles is always 360. \n" ); document.write( "7*360 = (n-2)*180 \n" ); document.write( "divide both sides of this equation by 180 to get \n" ); document.write( "7*2 = n-2 \n" ); document.write( "add 2 to both sides of this equation and simplify to get: \n" ); document.write( "16 = n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "number of sides is equal to 16. \n" ); document.write( "sum of exterior angle is 360. \n" ); document.write( "sum of interior angles is 14*180 = 2520 \n" ); document.write( "2520/360 = 7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |