F4 Basic Properties of circle

The figure shows the circumcircle of △ABC. TQAC is a straight line. PQ, PR and PS are three altitudes. ∠QPR = 66°, ∠PQR=32° and ∠ACB = 58°.
It is give that A,Q,P and R are concyclic.

a)Show that B,P,R and S are concyclic.
b)Hence find ∠ABC and ∠ABP.

http://img220.imageshack.us/i/0003jx.jpg/

更新1:

I have finished the above question while this question is being asked. Please direct me to do the following. http://img831.imageshack.us/i/ It is given that ∠DBP = 58° and ∠RAP = 32°. R is th mid-point of AC. the question: Draw a line through P and perpendicular to AD. Does the line bisect BC?

更新2:

http://img831.imageshack.us/i/0004np.jpg/ This one is available. Sorry for that the above one cannot work.

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