It is given that:
[tex]m\angle\text{AOB}=(3x)^{\circ},m\angle BOC=(5x-6)^{\circ}[/tex][tex]\text{By the geometry of the figure since }OC\perp AD,\angle AOC=90^{\circ}\text{ }[/tex]
Therefore it follows:
[tex]\begin{gathered} \angle AOC=\angle AOB+\angle BOC \\ 90=3x+5x-6 \\ 96=8x \\ x=12 \end{gathered}[/tex]
Hence the value of x is 12 units.
Option B is correct.
