In ∆ABC, ∠A = 30° , ∠B = 40° and ∠C = 110°
In ∆PQR, ∠P = 30° , ∠Q = 40° and ∠R = 110°
A student says that ∆ABC ≅ ∆PQR by AAA congruence criterion. Is he justified? Why or why not?

Explanation

We have, in `∆ABC, ∠A = 30° , ∠B = 40° and ∠C = 110°`

in `∆PQR, ∠P = 30° , ∠Q = 40° and ∠R = 110°`

It is not justified because AAA is not a congruence criterion


Triangles with similar angles can be similar triangles but not congruent.

Two similar triangles can also have all equal angles but different lengths of sides,so one triangle could be an enlarged version of another triangle.

Therefore given by the student is not justified