# 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?

**Solution:**

He is not justified because AAA is not a congruence criterion.

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.

That is why the reason given by the student is not justified

**Video Solution:**

## 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?

### NCERT Solutions for Class 7 Maths - Chapter 7 Exercise 7.2 Question 4

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?

Triangles with similar measures of angles can be similar triangles but not congruent