Answer:
ΔQMR ≅ ΔRMQ by ASA congruent.
Explanation:
Congruent triangles:
In ΔPQR, PQ = PR,
⇒∠PQR ≅∠PRQ --(I) {Angles opposite to equal sides are congruent}
In ΔQMR & RMQ
Statement Reason
1. ∠MRQ ≅ ∠NQR Given
2. RQ = QR Reflexive property
3. ∠MQR ≅ ∠NRQ From (I)
4 . ΔQMR ≅ ΔRMQ Angle Side Angle congruent {ASA}