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  1. O is the circumcentre of a triangle ∆ ABC. The point A and th chord BC are on the opposite side of O. If ∠BOC = 150°. Then the angle ∠BAC is :
    1. 65°
    2. 60°
    3. 70°
    4. 75°
Correct Option: D

According to question , we draw a figure of triangle ABC circumscribes a circle with centre O

Given , ∠BOC = 150°
As we know that Angle subtended at the centre of a circled by an arc is twice to that at the circumference.
∴ ∠BOC = 2∠BAC

⇒ ∠BAC =
150
= 75°
2



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