#### (a) In the figure (i) given below, ∠CBP = 40°, ∠CPB = q° and ∠DAB = p°. Obtain an equation connecting p and q. If AC and BD meet at Q so that ∠AQD = 2 q° and the points C, P, B, and Q are concyclic, find the values of p and q.

(b) In the figure (ii) given below, AC is a diameter of the circle with centre O. If CD || BE, ∠AOB = 130° and ∠ACE = 20°, find:

(i)∠BEC

(ii) ∠ACB

(iii) ∠BCD

(iv) ∠CED.

**Solution:**

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