Circles Test - ...

Quadrilateral $$ABCD$$ and $$ECBA$$ are inscribed in a circle. If $$\angle B={ 125 }^{ \circ },$$ find the measure of $$\angle E.$$

Given that $$BC=CD$$, what is the value of $$x$$?

Angle $$ANB =$$ Angle $$AOB =$$ Angle $$AMB = ?$$

In the given figure, $$ST$$ is a tangent to the circle with centre $$O$$, at $$S$$.
Find the value of $$x$$.

In the given figure, if $$\angle AOB = 125^{\circ}$$ find the measure of $$\angle COD$$

If one angle of cyclic quadrilateral is $$70^o$$, then the angle opposite to it is:

In a cyclic quadrilateral $$ABCD$$, $$\angle A=5x, \angle C=4x$$, the value of $$x$$ is:

Draw a circle with centre O and radius $$2.5$$cm. Draw a chord $$AB$$ passing through its centre. The $$\angle AOB$$ is:

In the given figure, $$O$$ is the centre of the circle, Reflex $$\angle AOB=260^\circ$$. $$C$$ is a point on the minor arc $$AB$$ of the circle. Find $$\angle ACB$$.

The sum of pairs of opposite angles of a cyclic quadrilateral is: