document.write( "Question 136155: A triangle has angle measures of 2x+10, 4x and 5x+5. What are the measures of each angle from smallest to largest? \n" ); document.write( "
Algebra.Com's Answer #99713 by nycsharkman(136)![]() ![]() ![]() You can put this solution on YOUR website! A triangle has angle measures of 2x+10, 4x and 5x+5. What are the measures of each angle from smallest to largest?\r \n" ); document.write( "\n" ); document.write( "All triangles measure 180 degrees.\r \n" ); document.write( "\n" ); document.write( "You were given 3 angles.\r \n" ); document.write( "\n" ); document.write( "Add all 3 angles, equate sum to 180 and solve for x.\r \n" ); document.write( "\n" ); document.write( "2x + 10 + 4x + 5x + 5 = 180\r \n" ); document.write( "\n" ); document.write( "11x + 15 = 180\r \n" ); document.write( "\n" ); document.write( "11x = 180 - 15\r \n" ); document.write( "\n" ); document.write( "11x = 165\r \n" ); document.write( "\n" ); document.write( "x = 165/11\r \n" ); document.write( "\n" ); document.write( "x = 15\r \n" ); document.write( "\n" ); document.write( "We just found x to be 15, right?\r \n" ); document.write( "\n" ); document.write( "The angles are 2x + 10, 4x and 5x + 5.\r \n" ); document.write( "\n" ); document.write( "Replace x with 15 and do the math.\r \n" ); document.write( "\n" ); document.write( "2(15) + 10 = 30 + 10 = 40\r \n" ); document.write( "\n" ); document.write( "Next: 4(15) = 60\r \n" ); document.write( "\n" ); document.write( "Next: 5(15) + 5 = 75 + 5 = 80\r \n" ); document.write( "\n" ); document.write( "From smallest to largest:\r \n" ); document.write( "\n" ); document.write( "40, 60, 80\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |