If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent by :

We know the ASA [Angle-Side-Angle] congruence rule states that if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.

In $△\mathrm{ABC}$ and $△\mathrm{PQR},$

$\angle \mathrm{B}=\angle \mathrm{Q}$

$\mathrm{BC}=\mathrm{QR}$

$\angle \mathrm{C}=\angle \mathrm{R}$

Therefore, $△\mathrm{ABC}\cong △\mathrm{PQR}$   [By ASA rule]