In Fig. 16.122, O is the centre of the circle. Find ∠ BAC .

Question

In Fig. 16.122, O is the centre of the circle. Find &#x2220; BAC .

Philoid · Accepted Answer

We have,

∠AOB = 80^o

∠AOC = 110^o

∠AOB + ∠AOC + ∠BOC = 360^o (Complete angle)

80^o + 110^o + ∠BOC = 360^o

∠BOC = 170^o

By degree measure theorem,

∠BOC = 2 ∠BAC

170^o = 2 ∠BAC

∠BAC = 85^o