Question

Find the angle whose complement is one third of its supplement.​

Answer 1

Let the angle be 'x°'

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°

The required angle is 45°

Hope This Helps you!

Answer 2

Given :

• Complement angle is one third of its supplement angle

To find :

• The angle whose complement is one third of its supplement =?

Step-by-step explanation :

Let the measure of the required angle be x°.

Then, the measure of its complement angle = ( 90 - x) °.

And, the measure of its supplement angle = (180 - x) °.

According to the question :

➮ (180 - x) = 3(90 - x)

➮ 180 - x = 270 - 3x

➮ 3x - x = 270 - 180

➮ 2x = 90

➮ x = 90/2

➮ x = 45.

Therefore, 45° is the angle whose complement is one third of its supplement.