document.write( "Question 457128: If the complement of an angle is 18° less than one-third of its supplement, find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #313691 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! If the complement of an angle is 18° less than one-third of its supplement, find the measure of the angle. \n" ); document.write( ". \n" ); document.write( "Let x = the angle \n" ); document.write( "then \n" ); document.write( "Complement is 90-x \n" ); document.write( "Supplement is 180-x \n" ); document.write( ". \n" ); document.write( "90-x = (1/3)(180-x) - 18 \n" ); document.write( "multiplying both sides by 3: \n" ); document.write( "270-3x = 180-x-54 \n" ); document.write( "270 = 180+2x-54 \n" ); document.write( "90 = 2x-54 \n" ); document.write( "144 = 2x \n" ); document.write( "72 degrees = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |