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In 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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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.
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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.

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