document.write( "Question 3181: Suppose the interior angles of a convex pentagon are five consecutive numbers, find the measure of the largest angle. \n" ); document.write( "
Algebra.Com's Answer #1435 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! For any polygon with n sides, the total interior angles = \n" ); document.write( " 180(n-2) = 540 when n=5.\r \n" ); document.write( "\n" ); document.write( " Assume the middle angle is x, the five angles are x-2,x-1,x,x+1.x+2 \n" ); document.write( " we have the sum of them is 5x. \n" ); document.write( " \n" ); document.write( " Solve 5x =540, \n" ); document.write( " so x = 108 and the largest angle is 108+2 =110 deg\r \n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( " |