In the given figure, two chords $AB\text{ and} CD$ of a circle intersect at a point $E$ outside the circle. If $\angle E=35°$ and $\angle EAD=30°$, find $\angle CBE$.

In the given figure, $ABCD$ is a quadrilateral inscribed in a circle. Diagonals $AC$, $BD$ are joined. If $\angle ACB=40° \text{and} \angle CAB=45°$, what is $\angle ADC$?

In the given figure, $AB$ is a diameter of the circle such that $\angle PAB=45°$. Find $\angle PCA$.

In the given figure, prove that $\angle A=\angle D$ and $\angle 1=\angle 2$.

In the given figure, Two chords $AB$ and $CD$ of a circle intersect each other at right angles. $AC$ and $BD$ are joined. If $\angle CAB=48°$, find $\angle ABD$.

In the given figure, $AB$ and $CD$ are two diameters of a circle with centre $O$. $AC$ and $BD$ are joined. If $\angle BAC=60°$, find $\angle ABD$.

In the given figure, $O$ is the centre of a circle and $\angle BDC=32°$. Find the $\angle ACB$.

In the given figure, $XZ$ is a diameter and $W$ is the mid-point $XY$. Show that $XZ=ZY$.

In the given figure, $O$ is the centre of the circle, find the values of $x, y \text{and} z$.