Cyclic Quadrilaterals

In the diagram given below $ABCD$ is a cyclic quadrilateral. Then $\angle BAD=\angle BCE$

In the diagram given below $ABCD$ is a cyclic quadrilateral. If the value of $\angle BCD=100°$, then the value of $\angle BCE=70°$.

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

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

State and prove corollary on cyclic quadrilateral.

The oblique sides of a cyclic trapezium are

$ABCD$ is a cyclic trapezium such that $AD \parallel BC$ and $\angle B=70°$, then the value of $\angle A$ and $\angle C$ is

$ABCD$ is a cyclic trapezium, $AD$ is parallel to $BC$. If $\angle ABC=75°$, find $\angle BCD$.

$PQRS$ is a cyclic quadrilateral such that $PR$ is a diameter of the circle. If $\angle QPR=67°$ and $\angle SPR=72°$, $\angle QRS=$

If $PQRS$ is a cyclic parallelogram, then the measure of $\angle P=$_____$°$.

$ABCD$ is a  cyclic quadrilateral where $\angle DBC=27°, \angle ABD=50°$ and $\angle ADB=33°$, then find $\angle ADC$ in degree $\left(°\right)$.

$MNOP$ is a cyclic quadrilateral. If $MN$ = $10 \mathrm{cm}$, $OP$ =$30 \mathrm{cm}$, $PM$ = $26 \mathrm{cm}$ and diagonals intersect at right angle. Find $ON$.

Let $ABCD$ be a quadrilateral such that there exists a point $E$ inside the quadrilateral satisfying $AE=BE=CE=DE$. Suppose $\angle DAB, \angle ABC, \angle BCD$ is an arithmetic progression. Then the median of the set $\left\{\angle DAB,\angle ABC,\angle BCD\right\}$ is :-

Prove that cyclic parallelogram is always a rectangle.

Prove that any non-isosceles trapezium is not cyclic.

In the given figure some angles are represented by $x, y$ and $z$. Find the values of these angles.

The exterior angle formed by increasing side of a quadrilateral is equal to interior opposite angle. Then, this is a _____ quadrilateral.

In figure, $AOB$  is the diameter of a circle and $C,D \text{and} E$ are three points situated on semi circle. The value of $\angle ACD+\angle BED=$_____$°$

$\square ABCD$ is cyclic. If $\angle B=110°$, then find the measure of $\angle D$.

In the given figure, $\mathrm{C}$ and $\mathrm{D}$ are points on the semi-circle described on $\mathrm{AB}$ as diameter. Given that, angle $\mathrm{BAD} = 70°$ and angle $\mathrm{DBC} = 30°$, then calculate angle $\mathrm{BDC}.$