document.write( "Question 214911: The measure of a supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #162380 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let a = angle \n" ); document.write( ". \n" ); document.write( "Let x= complement = 90-a \n" ); document.write( ". \n" ); document.write( "Let y = supplement = 180 -a \n" ); document.write( ". \n" ); document.write( "y=3x -60,,,,,subst \n" ); document.write( ". \n" ); document.write( "(180-a) = 3(90-a) - 60 \n" ); document.write( ". \n" ); document.write( "180-a = 270 -3a -60 \n" ); document.write( ". \n" ); document.write( "180 +60 -270 = a-3a \n" ); document.write( ". \n" ); document.write( "-30 = -2a \n" ); document.write( ". \n" ); document.write( "a=15 \n" ); document.write( ". \n" ); document.write( "x= 90-15=75 \n" ); document.write( ". \n" ); document.write( "y= 180-15=165 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "check \n" ); document.write( "165 = 3(75)-60,,,,ok \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |