In the figure, `o` is the center of a circle passing through points `a,b,c and d and angle ADC = 120^@` . Find the value of `x`​

(i) In the adjoining figure, find the value of angle CBE . (ii) In the adjoining figure, two lines PAB and PDC cut a circle at points A,B,C and D. if angle PAD=60^@ ,then find the value of angleBCD .

In the following figure, O is the centre of the circle , AC is the diameter and if angle APB =120^@ , then find angle BQC .

In Fig, O is the center of the circle. Find the angle of triangleABC .

In the adjoining figure, AB is the diameter of the circle and two points C and D are on the circle. If angle CAD=45^@ and angleABC=65^@ , then find the value of angle DCA .

In the adjoining figure, O is the centre of the circle. Find the value of angle BEC .

In the given figure, O is the centre of a circle and angle ADC=130^@ .If angle BAC=x^@ , Find the value of x.

In the given figure, AB is the diameter of the circle. angle ADC = 120^(@) . Find angle CAB :

O is the centre of the circle passing through the points A, B and C such that angleBAO=30^@, angleBCO= 40^@ and angleAOC= x^@ . What is the value of x ?