Write a congruence statement for the pair of trangles

To prove a triangle to be congruent,here are the proves you can use:

Side-Angle-Side equal (SAS)
All sides equal (SSS)
Angle-Side-Angle equal (ASA)
Angle-Angle-Side equal (AAS)
Right-angle-hypotenuse-side (RHS)

In this case:

AB=AB (common)
<A=<B (given)
AQ=BP (given)

Therefore,it would be Side-Angle-Side equal (SAS)

Hope it helps!

In the first triangle 80+20+p=180 (since sum of all angles of a triangle is 180)so p= 80also in second triangle 55+45+q=180 (since sum of all angles of a triangle is 180)so q=80so we can conclude that p=80 degrees q=80 degrees so p=q=80 degreeshence option b is correct