The curved arcs indicate which angles are congruent with one another. The single arcs on angles R and I mean these two angles are congruent. The double arcs on angles Q and H are the other pair of congruent angles.
So far we have taken care of the two "A"s in "AAS". What we're missing is the "S", which refers to the side. This side cannot be between the two angles, otherwise we'd be talking about ASA instead of AAS.
There are two possible answers here
- the first possible answer is QP = HG
- the second possible answer is RP = IG
if either one of those congruences are true, then we have enough to use AAS
Some books use SAA in place of AAS, and they're the same thing.