In the given figure, $PA$ and $PB$ are two tangents to the circle with centre $O.$ If $\angle APB=60°$ then $\angle OAB$ is

 

In the given figure, $PQ$ and $PR$ are tangents to a circle with centre $A$. If $\angle QPA=27°$ then $\angle QAR$ equals

In the given figure, $PA$ and $PB$ are two tangents drawn from an external point $P$ to a circle with centre $C$ and radius $4 \mathrm{cm}$. If $PA\perp PB$, then find the length of each tangent.

If $PA$ and $PB$ are two tangents to a circle with centre $O$ such that $\angle APB=80°$. Then find the value of $\angle AOP$.

In the given figure, $O$ is the centre of the circle. $AB$ is the tangent to the circle at the point $P$. If $\angle APQ=58°$, then the measure of $\angle PQB$is

In the given figure, $O$ is the centre of the circle. $AB$ is the tangent to the circle at the point $P$. If $\angle PAO=30°$ then $\angle CPB+\angle ACP$ is equal to

In the given figure, $PQ$ is a tangent to the circle with centre $O$. $A$ is the point of contact. If $\angle PAB=67°$ then measure of $\angle AQB$ is 

In the given figure, two circles touch each other at $C$ and $AB$ is a tangent to both the circles. The measure of $\angle ACB$ is