The complement of an angle exceeds the angle by 60°. Then the angle is equal to

Let the required angle be x and it’s complement is y.

So,

⇒ y = 90 – x

Now, according to question;

Complement of the angle exceeds the angle by 60° i.e. y exceeds the x by 60°.

⇒ y – 60 = x

Now, putting the value of your in this equation,

⇒ (90 – x) – 60 = x

⇒ 30 – x = x

⇒ 2x = 30

⇒ x = 15°

Hence, required angle is 15°.