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 #1366 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! a pentagon is 5-sided. A 5-sided figure can be divided into 3 triangles, so total interior angles of a pentagon = 3*180 = 540.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let smallest angle be x. Next will then be x+1, then x+2 etc.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so we get: x + x+1 + x+2 + x+3 + x+4 = 540 \n" ); document.write( "5x + 10 = 540 \n" ); document.write( "5x = 530 \n" ); document.write( "x = 106\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so largest angle is 106+4 = 110\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " \n" ); document.write( " |