SOLUTION: the measure of angle A is twice the measure of its complement. what is m angle A

Algebra ->  Angles -> SOLUTION: the measure of angle A is twice the measure of its complement. what is m angle A      Log On


   



Question 916852: the measure of angle A is twice the measure of its complement. what is m angle A
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
The complement of A is (90-A), so we have
(1) A = 2*(90-A) or
(2) A = 180 - 2A or
(3) 3A = 180 or
(4) A = 60
Use (1) to check the value of A.
Is (60=2*(90-60))?
Is (60 = 2*30)?
Is (60 = 60)? Yes
Answer: the measure of angle A is 60 degrees.