Question 138

If O is the circumcentre of triangle ABC and OD ⊥ BC, then ∠BOD must be equal to

Solution

We know that angle subtended at centre by a chord will be twice the angle subtended on the circumference.
A is the angle subtended on circumference by BC. Hence, Angle BOC will be 2A.
Angle BOD will be half the measure of angle BOC. Hence, angle BOD will be equal to A.
Option A is the correct answer.

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