Question

O is the centre of the circle. Points A, B, C lie on the circle. If ∠AOC = 120° then find ∠ABC.

Answer 1

Given:

O is the centre of the circle points A ,B , C lie on the circle.

∠AOC = 120°

To find :


∠ABC



SOLUTION:


∠AOC = 120° (given)


By using the theorem the angle subtended by an Arc at the centre is twice the angle subtended by it at any point on the remaining part of the circle.


∠AOC = 2∠ABC


120° = 2∠ABC


∠ABC = 120°/ 2= 60°


∠ABC = 60°

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Hope this will help you......