In the given figure, it is given that O is the centre of the circle and ∠AOC = 150°. Find ∠ABC.

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Solution

It is given that O is the centre of circle and A, B and C are points on circumference.

(Given)

We have to find ∠ABC

The angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.

$∠ A B C = \frac{1}{2} (reflex ∠ A O C) = \frac{1}{2} (360 ° - 150 °) = \frac{1}{2} \times 210 ° = 105 °$

Hence,

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