Question

Solve the sum please with steps​

Answer 1

$We \: have \: ∠AOB = 80°$

$and \: ∠AOC=110°$

$∠AOB+∠AOC+∠BOC = 360 {}^{°}$

$80 {}^{o} + {110}^{o} + ∠BOC = {360}^{o}$

$∠BOC = {360}^{o} - {80}^{o} - {110}^{o}$

$=>∠BOC=170°$

$By \: degree \: measure \: theorem$

$∠BOC = 2∠BAC$

$= > {170}^{o} = 2 ∠BAC$

$= > ∠BAC = \frac{170}{2} = {85}^{o}$