Find the measure of angle A

Question

Angle A has the property that five times it complement is equal to twice its supplement. Find the measure of Angle A.

Answer 1

A = measure of angle A

90 - A = measure of its complement

180 - A = measure of its supplement

 

5(90 - A) = 2(180 - A)

450 - 5A = 360 - 2A

90 - 5A = -2A

90 = 3A

30 = A

 

m∠A = 30°