Question

difference between the two complimentary angles is 5. find one of the angles

Answer 1

Lets assume one angle be x.

so other would be y.

we have complementary condition. So

x + y = 90

x – y = 5

using elimination we get...

2x = 95

x = 47.5°

other will be 90 – 47.5 = 42.5°

Hope it helps!

Answer 2

Hi !

Let the angles be "a" and "b"

We know that,

a + b = 90° ---> (1)

A.T.Q.,

a - b = 5 ---> (2)

Adding (1) and (2)., we get

2a = 95
a = 95/2
a = 47.5°


a + b = 90°
b = 90° - 47.5°
= 42.5°

The angles are 47.5° and 42.5°