Question

If an angle is 18 less than its complement find the angle

Answer 1

Answer:

Let the measure of angle be x°.

It's compliment = (90 - x )°.

According to the question ;

x = ( 90 - x ) - 18

⇒ x + x = 90 - 18

⇒ 2x = 72

⇒ x = $\sf \dfrac{72}{2}$

⇒ x = 36

Therefore,

x = 36°

And, it's compliment = 54°.

$\rule{300}{2}$

Compliment Angle - The angles which make their sum equal to 90°.

If an angle is α°

It's compliment = (90 - α)°

Answer 2

Solution :-

Let angle be x°

It's complement = (90° - x°)

____________________________

A.T.Q

» (90° - x°)- 18° = x

» 2x = 90° - 18°

» 2x = 72°

» x = 72°/2

» x = 36°

Complement :-

» (90° - 36°)

» 54°

What are Complimentry angles ?

» The angles which have their sum as 90° are called complementary angles.