Question

in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ​

Answer 1

Angle PQM = Angle XYN
Angle PQR = Angle XYZ - 1
Triangle PQR Triangle XYZ
PQ. =. XY. (Given)
Angle PQR. =. Angle XYZ. (From 1)
QR. =. YZ. (Given)
SAS Congruence rule
Triangle PQR = Triangle XYZ