Q) In the given figure, O is the centre of the circle. AB and AC are tangents drawn to the circle from point A. If ∠ BAC = 65°, then find the measure of ∠ BOC.

Ans:

Since ∠BAC + ∠ BOC = 180° (circle’s identity)

∠ BOC = 180° —∠BAC

∠ BOC = 180°— 65°

∠ BOC = 115°

Therefore, value of ∠ BOC is 115°