Question

What else would need to be congruent to show that PQR = STU by ASA?

Answer 1

To prove ASA you have to have a side that is bounded by 2 angles.  Since you have PQ and ST equal and P and S equal you need the other angle Q and T

Answer 2

Answer: A.
`\angle{Q}=\angle{T}`

Explanation:

In the given figure we have two triangles ΔPQR and ΔSTQ.

Given :
`\overline{PQ}=\overline{ST}`

`\angle{P}=\angle{S}`

To prove both the triangles congruent we need
`\angle{Q}=\angle{T}` because by this we can use ASA congruence postulate to prove both the

triangles congruent.

ASA postulate says that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.