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  1. ‘O’ is the circumcentre of triangle ABC. If ∠ BAC = 50° then ∠ OBC is
    1. 50°
    2. 100°
    3. 130°
    4. 40°
Correct Option: D

According to question , we draw a figure of triangle ABC whose O is the circumcentre

∠BAC = Angle at circumference = 50°
∠BOC = angle at centre = 2∠BAC = 100°
OB = OC = radius

∴ ∠OBC = ∠OCB =
80°
= 40°
2



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