Question

The supplement of an angle is a and the complement of angle is

b. If

a.B = 5 : 2, then find the angle b :

Answer 1

Answer:

Let the angle be x

According to the question

Let the supplement angle be 180 - x

And complement angle be 90 - x

5 / 2 ( 90 - x ) = 180 - x

225 - 5x / 2 = 180 - x

225 - 180 = - x + 5x / 2

45 = -2x + 5x / 2

45 = 3x / 2

On Cross mutiplying we get

45 × 2 = 3x

3x = 90

x = 90 / 3

x = 30

So the angle is 30 degree.

Hope it helps you :-)