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Question
In the given figure, A, B and C are three points on a circle with centre O such that ∠BOC = 30° and ∠AOB = 60°. If D is a point on the circle other than the arc ABC, find ∠ADC.
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Solution
The correct option is B 45°
It can be observed that ∠AOC = ∠AOB + ∠BOC = 60° + 30° = 90° We know that angle subtended by an arc at the centre is double the angle subtended by it any point on the remaining part of the circle.∠ADC=12∠AOC=12×90°=45°
It can be observed that ∠AOC = ∠AOB + ∠BOC = 60° + 30° = 90° We know that angle subtended by an arc at the centre is double the angle subtended by it any point on the remaining part of the circle.∠ADC=12∠AOC=12×90°=45°
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