Q. 34.8( 6 Votes )

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

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}

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