document.write( "Question 538019: The sum of all the interior and exterior angles of a polygon is 2880. how many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #353069 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The sum of all the interior and exterior angles of a polygon is 2880. how many sides does the polygon have? \n" ); document.write( "---------------- \n" ); document.write( "The easy way: \n" ); document.write( "2880/180 = 16 \n" ); document.write( "---------------- \n" ); document.write( "The hard way: \n" ); document.write( "The sum of exterior angles is always 360 degs, so the sum of the interior angles is 2520 degs. \n" ); document.write( "------------ \n" ); document.write( "sum of int = (n-2)*180 = 2520 \n" ); document.write( "n-2 = 2520/180 = 14 \n" ); document.write( "n = 16 sides \n" ); document.write( " |