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Question
In the given figure, O is the centre of the circle. Tangents at A and B meet at C. If angle ACO = 30°, find: angle APB
Solution
In the given fig, O is the centre of the circle and CA and CB are the tangents to the circle from C. Also, ∠ ACO = 30°
P is any point on the circle. P and PB are joined.
To find : ∠ APB
Proof :
Arc AB subtends ∠ AOB at the centre and ∠ APB
is in the remaining part of the circle.
∴ `∠ "APB" = 1/2 ∠ "AOB" =1/2 xx120 = 60°`
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