document.write( "Question 818450: In a triangle the two larger angles differ by 10 degrees. The smaller angle is 50 degrees less than the largest angle. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #492577 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = largest angle \n" ); document.write( "x - 10 = medium angle \n" ); document.write( "x - 50 = smallest angle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + x - 10 + x - 50 = 180 {angles of a triangle add up to 180°} \n" ); document.write( "3x - 60 = 180 {combined like terms} \n" ); document.write( "3x = 240 {added 60 to each side} \n" ); document.write( "x = 80 {divided each side by 4} \n" ); document.write( "x - 10 = 70 {substituted 80, in for x, into x - 10} \n" ); document.write( "x - 50 = 30 {substituted 80, in for x, into x - 50}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "80°, 70°, and 30° are the measures of the angles \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |