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Question : In the given figure, $O$ is the centre of the circle and $\angle AOC=140°$. Find $\angle ABC$.

Option 1: 95°

Option 2: 110°

Option 3: 120°

Option 4: 103°


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 8th Jan, 2024

Correct Answer: 110°


Solution :
In the given figure, $O$ is the centre of the circle and $\angle AOC=140°$.
So, the reflex $\angle AOC=360°-140°=220°$
We know that $\angle ABC=\frac{1}{2}$ × Reflex$\angle AOC=\frac{1}{2}×220°=110°$
Hence, the correct answer is 110°.

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