Answer
Here is the detailed proof: Given that ∠T ≅ ∠V and ST || UV. We need to prove that TU || VW. Below is the structured proof: 1) ∠T = ∠V Given 2) ∠TSU = ∠SUV Alternate interior angles theorem 3) SU = SU Reflexive property 4) Triangle STU ≡ Triangle VUS ASA 5) ∠SUT = ∠VSU CPCT 6) Therefore, TU || VW Converse of alternate interior angles theorem This concludes the proof.
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