Answer: [tex]\angle{A}=\angle{T}[/tex] then the triangles would be congruent by ASA .
[tex]\angle{B}=\angle{P}[/tex] then the triangles would be congruent by AAS .
Step-by-step explanation:
Given: Two triangles [tex]\triangle{ABC}\ and\ \triangle{PQT}[/tex] in which
[tex]\angle{C}=\angle{Q}\ and\ AC=QT[/tex]
The additional information for proving triangles are congruent can be the [tex]\angle{A}=\angle{T}[/tex] then the triangles would be congruent by ASA (two angles and an included side).
[tex]\angle{B}=\angle{P}[/tex] then the triangles would be congruent by AAS (two angles and an non-included side).
All the other options are not correct because there is no definition or postulate for congruence which satisfy them to prove triangles are congruent.
