Thread: non-Euclidean Geometry Proof

Prove that if Q is a plane, each of the lines AB and A'B' is a subset of Q, A:C:B, A':C':B', and angle ACC' ~ angle BC'C, then the line AB is parallel to the line A'B'. I don't know were to start so anything would help

First, I assume that you doing 'Hyperbolic Plane Geometry'. Correct?
Now please explain your notations.