Question

If an angle is one-third of its complement, then the angles (in degree)​

Answer 1

Answer:

45°

Step-by-step explanation:

Then complement of that angle -- (90- x)°

Supplement of that angle -- (180 - x)°

A/Q ---.>

90 - x = 1/3( 180 - x)

90 - x = 60 - x/3

-x + x/3 = 60 - 90

[ - 3x + x] / 3 = - 30

-2x/3 = -30

x = 30 x 3/2

x = 45°

Please mark me as brainiest answer

Answer 2

=>Let the required angle be x°

=>Then,it's complement=(90-x)°

Now,As Per Question------

=>1/3(90-x)=x

=>30-1/3x=x

=>30=x+1/3x

=>30=4/3x

=>30×3=4x

=>90=4x

=>x=90/4

=>x=22.5°

Thus,the required angle is 22.5°