Answer
△QRT and △TSQ are congruent using Postulate 4-2 Side-Angle-Side (SAS) Postulate
Work Step by Step
Proof:
QR‖TS is Given
∠TQR ≅∠STQ - If lines are ‖, the alternate interior ∠are ≅
QT≅ QT - Reflexive Property of Congruence
△QRT ≅ △TSQ - Postulate 4-2 Side-Angle-Side (SAS) Postulate