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°
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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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