Question

In the diagram, OC AD. If m

Answer 1

It is given that:

`m\angle\text{AOB}=(3x)^(\circ),m\angle BOC=(5x-6)^(\circ)`
`\text{By the geometry of the figure since }OC\perp AD,\angle AOC=90^(\circ)\text{ }`

Therefore it follows:

`\begin{gathered} \angle AOC=\angle AOB+\angle BOC \\ 90=3x+5x-6 \\ 96=8x \\ x=12 \end{gathered}`

Hence the value of x is 12 units.

Option B is correct.