Choose the correct correspondence

Answer:
[tex]\angle U \iff \angle S[/tex]
Step-by-step explanation:
The graph shows to different figures. Assuming the internal triangles from each figure are congruent, then the corresponding element to [tex]\angle U[/tex] is [tex]\angle S[/tex].
Because, in the parallelogram UTSR, we have two triangles which are congruent. So, when we have a congruence between triangles, we deduct all corresponding elements that are congruent.
So, the congruence is between [tex]\triangle RST[/tex] and [tex]\triangle TUR[/tex], from this congruence, we have
[tex]\angle R \cong \angle T\\\angle S \cong \angle U\\\angle T \cong \angle R[/tex]
Therefore, the right answer is [tex]\angle S[/tex].