Question

Find angle which is one third of its complement

Answer 1

Answer:

Step-by-step explanation:

We know that complement=90°

Let we suppose angle as (x°)

We solve it as like,

x=1/3(90°-x°)

3x=90°-x°

4x°=90°

x=90/4

x=22.5°✓✓it is the right answer.

Answer 2

Given :Angle is one third of its complement

To find :Find angle

Solution:

Let the angle be x

Complementary angles : A pair of angles whose sum is 90° are called complementary angles

So, Complement of angle x = 90-x

We are given that angle is one third of its complement

So$x= \frac{1}{3}(90-x)$

$3x=90-x\\4x=90\\x=22.5$

Hence The angle is 22.5°