prove two triangles are congruent if aas,so the therom aas

Given: Two angles of two triangles are congruent. Also, one side, not included between these two angles are also congruent.

 

To Prove: The two triangles are congruent.

 

Proof:

Let ABC and PQR be the two triangles such that angle A = angle P

angle B = angle Q

and BC = QR

 

Now, using angle sum property, we have:

angle C = 180 - (angle A + angle B)

            = 180 - (angle P + angle Q)

            = angle R

 

Thus, we have:

angle B = angle Q

angle C = angle R

BC = QR

Hence, by ASA congruence criterion, the two triangles ABC and PQR are congruent.