Answer:
∠1 ≅ ∠4
∠2 ≅ ∠5
∠3 ≅ ∠6
ST ≅ WX
TU ≅ XY
US ≅ YW
Explanation:
Conveniently, the names and angles can be put in alpha/numeric order and that will match the correspondence.
ΔSTU ≅ ΔWXY
and the angles in each triangle are numbered in the same order as these vertices. All you have to do is add 3 to the angle number to fill in the angle answers.
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The first/second letters of the first given segment (ST) match the first/second letters of the congruence relation written above, so the corresponding segment will have the first/second letters of ΔWXY, namely, WX. It continues like that for the other segments.