F5 Maths

Figure: http://img831.imageshack.us/img831/1732/21857794.jpg

The figure shows a semicircle with diameter AC and centre O. The chords
AB and CD meet at P. Q is the foot of the perpendicular from P to AC.

a) show that A, Q, P, D are concyclic.

b) Let angle PQD = $. Find in terms of

i) angle BQD.

ii) angle BOD

c) Let angle BAC = @. Find angle BDQ in terms of @.