Angle Subtended by an Arc of a Circle

From the given figure,find the measure of $p$ and $q$

In the given figure, $O$ is the centre of the circle. $PQ$ is a chord of the circle and $R$ is any point on the circle. If $\angle PRQ=l$ and $\angle OPQ=m$ then find $l+m$ (in degree)

To construct two tangents from a point 'P' outside the circle.




 $\angle PRO= ?$

In the following figure, $O$ is the centre of the circle. The value of $x$ is

In figure, $O$ is the centre, then $\angle BXD=$

$A, B$ and $C$ are three points on the circle whose centre is $O$. If $\angle BAC=x, \angle CBO=\angle BCO=y, \angle BOC=t$ and $\mathrm{reflex}\angle BOC=z$, then

In the diagram the circle contains the vertices, A, B, C of triangle ABC. Now $\angle \text{ABC}$ is 30^o and the length of AC is 5. The diameter of the circle is :

            

$AB$ and $CD$ are diameters of a circle $,\angle OBD = 50°$ , the $\angle AOC$ is equal to

In the figure given below $\angle AOB =\mathrm{80}°$ , arc AC = arc BC, then $\mathrm{\angle }$ CAB is equal to