In the given figure, O is the centre of the circle, ∠BAD = 75° and chord BC = chord CD. Find : (i) ∠BOC (ii) ∠OBD (iii) ∠BCD

In the figure given, O is the centre of the circle. ∠DAE = 70°, find giving suitable reasons, the measure of :

(i) ∠BCD

(ii) ∠BOD

(iii) ∠OBD

In the given figure, find whether the points A, B, C, D are concyclic when:

(i) x = 70

(ii) x = 80

In the adjoining figure, ∠BAD = 65°, ∠ABD = 70° and ∠BDC = 45°. Find: (i) ∠BCD (ii) ∠ADB Hence, show that AC is a diameter.