Cyclic Quadrilaterals

If a pair of opposite angles in a quadrilateral is $180°$, the quadrilateral is cyclic.

Prove that "An exterior angle of cyclic quadrilateral is congruent to the angle opposite to its adjacent interior angle."

The diagonal of a cyclic square is a radius of the circle.

If $\angle P=105°$ of a cyclic quadrilateral $PQRS$, then the value of $\angle R$ is:

In the diagram given below $ABCD$ is a cyclic quadrilateral. The value of $\angle BCE=80°$.

In the diagram given below $ABCD$ is a cyclic quadrilateral. The value of $\angle BAD=$_____

 In the cyclic quadrilateral $ABCD$, if $\angle D+\angle C=145°$, then $\angle A+\angle B$ is

$ABCD$ is a cyclic quadrilateral inscribed in a circle with the centre $O$. Then $\angle OAD$ is equal to

In the given figure value of $a$ is

In the figure, $AB=BC=CD$, If $\angle BAC=25°$, then value of $\angle AED$ is

ABCD is cyclic quadrilateral inscribed in a circle with the centre O. Then $\angle OAD$ is equal to

ABCD is cyclic quadrilateral. AB is the diameter of the circle through points A, B, C and D. If $\angle BAC = 35°,$ the $\angle ADC$ is equal to

PQRS is a cyclic quadrilateral and RS is a diameter. If $\angle SPQ = {140}^o\angle RSQ$ is equal to