document.write( "Question 1060907: Two angles are complementary if the sum of their measures is 90°. Find two complementary angles such that the smaller angle is 118° less than 3 times the larger angle \n" ); document.write( "
Algebra.Com's Answer #675746 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! Complementary angles add up to 90°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = larger angle \n" ); document.write( "3x - 118 = smaller angle {smaller angle is 118° less than 3 times larger angle}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 3x - 118 = 90 {added the two angles and set equal to 90°} \n" ); document.write( "4x - 118 = 90 {combined like terms} \n" ); document.write( "4x = 208 {added 118 to each side} \n" ); document.write( "x = 52 {divided each side by 4} \n" ); document.write( "3x - 118 = 38 {substituted 52, in for x, into 3x - 118}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "smaller angle is 38° \n" ); document.write( "larger angle is 52° \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " \n" ); document.write( " |