question_answer 8)

In \[\Delta ABC,\angle A={{30}^{o}},\angle B={{40}^{o}}\] and \[\angle \text{C}=\text{11}{{0}^{\text{o}}}\] In \[\Delta PQR,\angle P={{30}^{o}},\angle Q={{40}^{o}}\] and \[\angle R={{110}^{\text{o}}}\] A student says that \[\Delta ABC\cong \Delta PQR\] by AAA congruence criterion. Is he justified? Why or why not?

Answer:

                No! he is not justified because AAA is not a criterion for congruence of triangles.