Circles Test - ...

One of the base angle a cyclic trapezium is double the other. What is the measure of the larger angle?

Find $$x.$$

If $$O$$ is the centre of the circle and $$A, B$$ and $$C$$ are points on its circumference and $$\angle AOC = 130^{\circ}$$, find $$\angle ABC$$.

In the given figure, AB=AC and $$\displaystyle \angle ABC=68^{\circ},$$ what is the value of $$\displaystyle \angle BPC$$?

In the given figure, $$BD=DC$$ and $$\displaystyle \angle DBC=30^{\circ}$$ what is the value of $$\displaystyle \angle BAC$$?

$$ABCD$$ is a cyclic quadrilateral, in which $$BC$$ is parallel to $$AD$$, $$\displaystyle\angle ADC=\displaystyle 110^{\circ}$$ and $$\displaystyle \angle BAC=50^{\circ}$$. What is the value of $$\displaystyle \angle DAC$$?

What is the value of $$ \displaystyle \angle ABC $$ ?

ABCD is a cyclic trapezium and $$ \displaystyle  AB\parallel CD $$. If $$AB$$ is the diameter of the circle and $$ \displaystyle  \angle CAB=30^{\circ}   $$,  then the value of $$ \displaystyle \angle ADC $$ is:

In the given figure $$\text{O}$$ is the center of the circle and measure of $$\angle \text{AOC} $$ is $$ \displaystyle 100^{\circ}  $$ what is the value of $$ \displaystyle \angle \text{ADC}  $$ ?

ABCD is cyclic quadrilateral. The tangents to a circle at A and C meet at P. If $$\angle$$ APC = 50$$^{\circ} $$, then the value of $$\angle$$ ADC is: