You see that angles RPT and R are congruent. That is 1 pair of angles.
Since segments TQ and PR are perpendicular, angles TQP and TQR are right angles. All right angles are congruent, so that gives you a seond pair of congruent angles.
Segment TQ is congruent to itself. That is a pair of sides that are congruent.
Trianlges PQT and RQT are congruent by AAS.
