document.write( "Question 457054: If the complement of an angle is 22° less than one-third of its supplement, find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #313601 by amoresroy(361)![]() ![]() You can put this solution on YOUR website! Let x = the measure of the angle\r \n" ); document.write( "\n" ); document.write( "90 - x = the complement of the angle \n" ); document.write( "180-x = the supplement of the angle\r \n" ); document.write( "\n" ); document.write( "90-x = (180-x)/3 - 22\r \n" ); document.write( "\n" ); document.write( "90-x = 60 - x/3 -22\r \n" ); document.write( "\n" ); document.write( " 90-60+22 = -x/3 + x\r \n" ); document.write( "\n" ); document.write( "52 = 2x/3\r \n" ); document.write( "\n" ); document.write( "x = 78\r \n" ); document.write( "\n" ); document.write( "The measure of the angle is 78 degrees \n" ); document.write( " |