document.write( "Question 405927: The second angle of a triangle is twice as large as the first angle. The third angle is 12degrees more than four times the first angle. How large are the angles? \n" ); document.write( "
Algebra.Com's Answer #286601 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"The second angle of a triangle is twice as large as the first angle. The third angle is 12degrees more than four times the first angle. How large are the angles?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = first angle \n" ); document.write( "2x = second angle {second angle is twice as large as first} \n" ); document.write( "4x + 12 = third angle {twelve more than four times the first}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All angles of a triangle add up to 180.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 2x + 4x + 12 = 180 {added up all angles and set equal to 180} \n" ); document.write( "7x + 12 = 180 {combined like terms} \n" ); document.write( "7x = 168 {subtracted 12 from both sides} \n" ); document.write( "x = 24 {divided both sides by 7} \n" ); document.write( "2x = 48 {substituted 24, in for x, into 2x} \n" ); document.write( "4x + 12 = 108 {substituted 24, in for x, into 4x + 12}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24, 48, and 108 are the angles\r \n" ); document.write( "\n" ); document.write( "www.algebrahouse.com \n" ); document.write( " \n" ); document.write( " |