Question

The measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle. Find the measure of the angle

Answer 1

Let C stand for compliment.Let S stand for suppliment.Let A stand for angle.A=90-CS=A+2C+40First solve for compliment.180=90-C+2C+40140=90-C+2C140=90+C50=C90 degrees minus the compliment is the angle's measure.90 minus 50 is 40.40 degrees is the angle's measure.Check by solving for suppliment.S=2C+40S=100+40S=140180 degrees minus the suppliment is the angle's measure.180 minus 140 equals 40.Fourty is the angle's measure.Because 40+50=90 AND 40+2(50)+40=180A=40C=50S=140