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

Question

Mathematics

Emmett

1 January, 22:02

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

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Answers (2)

Know the Answer?

Cameron Kim · Answer 1

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

180-2A+40 = 180-A

180-180+40=2A-A

A = 40

Dominique Estes · 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