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 ______.

पर्याय

• 80°

• 100°

• 120°

• 140°

Answer 1

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°