document.write( "Question 830176: the measures of the interior angles of a convex pentagon ar 70 degrees, 87 degrees, 103 degrees, 2x degrees, and 3x degrees. what is the measure of the largest interior angles? \n" ); document.write( "
Algebra.Com's Answer #500480 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! S = 180(n-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = 180(5-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = 180*3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = 540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So all of the interior angles in a pentagon (regardless of what type of pentagon) add up to 540 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the angles 70 degrees, 87 degrees, 103 degrees, 2x degrees, and 3x degrees must add to 540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "70 + 87 + 103 + 2x + 3x = 540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "260 + 5x = 540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x = 540-260\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x = 280\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 280/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 2*56 = 112 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 3*56 = 168 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the largest interior angle is 168 degrees \n" ); document.write( " |