Here are two right angles.one pair of corresponding sides is marked congruent.

Answer:
ASA congruence theorem
Step-by-step explanation:
WE know by given that ∠S ≅∠U and line ST ≅ line UT
By the vertical angles theorem, we can find that ∠RTS ≅ ∠VTU.
They are in a form that when looking around the edge, you see congruent angle, side, then angle. That means that we can prove the triangles' congruence with ASA congruence.