Circles Test - ...

In the figure, $$AB$$ is parallel to $$DC$$, $$\angle BCD=80^o$$ and $$\angle BAC = 25^o$$. Then m$$\angle ADC$$ is:

Then m$$\angle EBA$$ is:

$$ABC$$ is an isosceles triangle in the given circle with centre $$O,$$ if  $$\angle ABC=42^{\circ},$$ then find the measure of $$ \angle CDE.$$

In the given diagram, $$AB$$ is the diameter of the given circle with centre $$O.$$ $$C$$ and $$D$$ are points on the circumference of the circle. If $$\angle ABD=35^{\circ}$$ and $$\angle CDB=15^{\circ},$$ then $$\angle CBD$$ equals:

Find the value of $$(a + b)$$. 

In figure, AB is a chord of a circle with centre O and AP is the tangent at A such that $$\angle BAP=75^{\circ}$$. Then $$\angle ACB$$ is equal to:

In the given figure, $$AB = BC = CD$$. If $$\displaystyle \angle BAC=25^{\circ}$$, then value of $$\displaystyle \angle AED$$ is:

At one end $$A$$ of a diameter $$AB$$ of a circle of radius $$5$$ cm, tangent $$XAY$$ is drawn to the circle. The length of the chord $$CD$$ parallel to $$XY$$ at a distance $$8$$ cm from $$A$$ is:

If two chords of a circle are equidistant from the center of the circle then they are 

In the given figure, the value of $$a$$ is: