Question

Twice the complement of angles A is 40 less than the supplement of angle A. Find the measure of angle A

Answer 1

2(90-A)+40 = 180-A

180-2A+40 = 180-A

180-180+40=2A-A

A = 40

Answer 2

Complement adds to 90
complement of A is 90-A


supplement is adds to 180
supplemetn of A is 180-A

2(90-A) is -40+180-A

2(90-A)=-40+180-A
2(90-A)=140-A
distribute
180-2A=140-A
add 2A to both sides
180=140+A
minus 140 both sides
40=A

A=40 degres