Circles Test - ...

In the given figure, $$\Delta$$ABC is an isosceles triangle with AB$$=$$AC and $$\angle$$ABC$$=50^o$$. Find $$\angle$$BDC and $$\angle$$BEC respectively.

In the given figure, $$ABCD$$ is a cyclic quadrilateral whose side $$AB$$ is a diameter of the circle passing through $$A, B, C$$ and $$D$$. If $$\angle$$ADC$$=130^o$$, find $$\angle$$BAC.

A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of $$65^{\circ}$$ at any point C on the circumference of the circle. If P is the point of intersection of the two lines, then the measure of $$\angle $$ APB is

In the figure given below, if $$\angle AOP \, = \, 75^\circ$$ and $$\angle AOB \, = \, 120^\circ$$, then what is $$\angle AQP$$ ?

In the adjacent figure, if $$\angle AOC = 110^0$$, then the value of $$\angle D\ and \angle B$$ respectively.

$$BD$$ is a chord parallel to the diameter $$AC$$ of a circle. A point $$B$$ is on the perimeter of the circle such that angle $$CBE={ 63 }^{ o }$$. The angle $$DCE$$ is equal to:

In a cyclic quadrilateral $$ ABCD$$, twice the measure of $$\angle A $$ is thrice the measure of $$\angle C$$, find the measure of $$\angle C$$.

Quadilateral ABCD is cyclic. If $$ \angle B = 60^o$$, then $$\angle D = $$____.

In the given figure, AD=BC, $$\angle BAC={ 30 }^{ o }$$ and $$\angle CBD={ 70 }^{ o }$$. Find $$\angle BCD$$.

In the diagram above, $$O$$ is the centre of the circle. The value of $$x$$ is