Question

difference between an angle and its complement is 10 degree find the measure of larger angle​

Answer 1

ANSWER:-

Correct option is

A

50

∘

It is given that: x−(90−x)=10⇒2x=100⇒x=50

Answer 2

Let an angle = θ

Then its complement = 90° - θ

Now it is given that the difference between an angle and its complement is 10°

So by the given condition

90° - θ - θ = 10°

⇒ 90° - 2θ = 10°

⇒ - 2θ = 10° - 90°

⇒ 2θ = 80°

⇒ θ = 40°

So the required angle = 40° and its complement = 50°

∴ The measure of larger angle = 50°