Question

AOC=96° BOC=8x-67° AOB=9x-75° find BOC

Answer 1

Given data:

The given figure.

The expression for the angle AOC is,

`\angle AOC=\angle\text{AOB}+\angle BOC`

Substitute the given values in the abbove expression.

`\begin{gathered} 96^(\circ)=(9x-75^(\circ))+(8x-67^(\circ)) \\ 238^(\circ)=17x \\ x=14 \end{gathered}`

Substitute 14 for x in the angle BOC.

`\begin{gathered} \angle BOC=(8(14)-67)^(\circ) \\ =45^(\circ) \end{gathered}`