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Question
In the given figure, AB and AC are tangents to B the circle with centre O such that ∠BAC = 40°. Then, ∠BOC is equal to ______.
Options
80°
100°
120°
140°
MCQ
Fill in the Blanks
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Solution
In the given figure, AB and AC are tangents to B the circle with centre O such that ∠BAC = 40°. Then, ∠BOC is equal to 140°.
Explanation:
ABOC is a cyclic quadrilateral
∴ ∠BAC + ∠BOC = 180°
⇒ ∠BOC = 180° – ∠BAC
= 180° – 40°
= 140°
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