Challengers*

In the given figure, what will be the value of $\angle CBA?$

In the given figure, $C$ and $D$ are points on the semi-circle inscribed on $AB$ as diameter $\angle ABD=75°$ and $\angle DAC=35°$. Then, what will be the value of $\angle BDC$?

In the following figure, $PQ$ is a diameter of the circle whose centre is at $O$. If $\angle ROS=44°$, then what is the value of $\angle RTS$?

In the given figure, $O$ is the centre of the circle anc $\angle AOD=106°$, what will be the value of $\angle BCD$?

In the adjoining figure, $OPQR$ is a square, A circle drawn with center $O$ cuts the square in $X$ and $Y$. Then, what will be the relation between $QX \mathrm{and} QY$.

In the adjoining figure, $O$ is the centre of a circle. Chord $CD$ is parallel to diameter $AB, II \angle ABC=25°$, then what wil the value of $\angle CED$?

If $ABC$ and $D$ are four distinct points on a circle whose centre is at $O$ and if $\angle OBD-\angle CDB=\angle CBD-\angle ODE$, then what will be the value of $\angle A$?

In the given figure, $O$ is the centre of the circle and line segments $AC$ and $BD$ intersect at $P$ . If $\angle AOB=100°$ and $\angle DAP=30°$, then what will be the value of $\angle APB$?