Question

Find the angle whose compliment is one third of its supplement​

Answer 1

Answer:

let the angle be x

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

we will get the solution as 45°

Answer 2

Let the the required angle = x
Sum of complementary angles = 90
So, complement of of an angle x = (90 − x)°
Sum of supplementary angles =180
So. supplement of an angle x = (180 − x)°
By the problem:
1/3(180-x)=(90-x)

180-x=3(90-x)

180-x=270-3x

3x-x=270-180

2x=90

x={90}/{2}=45

Hopefully it’s helpful for you
Thanks