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Question
In the given figure, O is the centre of the circle and ∠BAC= 20°, ∠BOC is ______.
Options
40°
30°
10°
20°
MCQ
Fill in the Blanks
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Solution
In the given figure, O is the centre of the circle and ∠BAC= 20°, ∠BOC is 40°.
Explanation:
Angle BAC is an inscribed angle that subtends arc BCBCBC.
The central angle BOC subtending the same arc is twice the inscribed angle.
So,
∠BOC = 2 × ∠BAC
= 2 × 20°
= 40°.
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