Question 1187856
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

in your case given  P is the midpoint of TQ and RS

then TP=QP and RP=SP, so these two pairs of corresponding sides are equal

if given vertical angles are congruent, means


△TPR ≅ △QPS   by SAS postulate