Find the size of lettered angle in the figure. $O$ is the centre of the circle.

  

Find the size of lettered angles in the figure.

Find the size of lettered angles in the figure.

Find the size of lettered angle in the figure.

Find the size of lettered angle in the figure.

Find the size of lettered angle in the figure.

In the diagram $SAT$ is the tangent to the circle at point $A$. The points $B$ and $C$ lie on the circle and $O$ is the centre of the circle. If $\angle ACB=x$, express $\angle AOB$ in terms of $x$.

In the diagram $SAT$ is the tangent to the circle at point $A$. The points $B$ and $C$ lie on the circle and $O$ is the centre of the circle. If $\angle ACB=x$, express $\angle OAB$ in terms of $x$.

In the diagram $SAT$ is the tangent to the circle at point $A$. The points $B$ and $C$ lie on the circle and $O$ is the centre of the circle. If $\angle ACB=x$, express $\angle BAT$ in terms of $x$.