geometry problem

[stephanson12]

can someone give me a hint to solve this problem? Thanks!

Consider a triangle ABC with C=90° , and call its centroid G. Let P be a point on the half-line [AG such that ^CPA = ^CAB and Q be a point on the half-line [BG such that ^CQB= ^ABC . Show that the circumcircles of AQG and BPG intersect at AB?