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Question
In the given figure, if ∠ABC = 45°, then ∠AOC =
Options
45°
60°
75°
90°

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Solution
90°
We have to find ∠AOC.

As we know that 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.
`angleAOC = 2 angleABC`
`= 2 xx 45`
= 90°
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