Question

In fig., O is the centre of circle, ∠ ABC = 30°, then find ∠ AOC ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given :

∠ABC = 30°

To Find :

∠AOC ​

Solution :

We know that, angle subtended by an arc at the center of the circle is twice the angle subtended by it at the remaining part of the circle.

∴    ∠AOC =   2∠ABC

⇒   ∠AOC =   2 × 30°

⇒   ∠AOC =   60°

Therefore, the ∠AOC is found to be equal to 60° which is twice of ∠ABC.