3. The points A, B, C, D and E lie on the circle. BD is the diameter of the circle and AE is parallel to BD. BP is the tangent to the circle at B and PCD is a straight line. Given ∠BAE = 118° and ∠BDC = 20°, find
(a) ∠BDE,
(b) ∠DBE,
(c) ∠ABE,
(d) ∠PBC,
(e) ∠BPD
Please show your workings and state your reasons clearly.
(1 mark each for correct answer and 1 mark each for reason).