document.write( "Question 499895: The measure of the supplement of an angle is 40 more than two times the measure of the complement of an angle. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #338054 by Flannery(124)![]() ![]() You can put this solution on YOUR website! Let C stand for compliment. \n" ); document.write( "Let S stand for suppliment. \n" ); document.write( "Let A stand for angle. \n" ); document.write( "A=90-C \n" ); document.write( "S=A+2C+40 \n" ); document.write( "First solve for compliment. \n" ); document.write( "180=90-C+2C+40 \n" ); document.write( "140=90-C+2C \n" ); document.write( "140=90+C \n" ); document.write( "50=C \n" ); document.write( "90 degrees minus the compliment is the angle's measure. \n" ); document.write( "90 minus 50 is 40. \n" ); document.write( "40 degrees is the angle's measure. \n" ); document.write( "Check by solving for suppliment. \n" ); document.write( "S=2C+40 \n" ); document.write( "S=100+40 \n" ); document.write( "S=140 \n" ); document.write( "180 degrees minus the suppliment is the angle's measure. \n" ); document.write( "180 minus 140 equals 40. \n" ); document.write( "Fourty is the angle's measure. \n" ); document.write( "Because 40+50=90 AND 40+2(50)+40=180 \n" ); document.write( "A=40 \n" ); document.write( "C=50 \n" ); document.write( "S=140 \n" ); document.write( "Q.E.D \n" ); document.write( " |