# Explain, why ∆ ABC ≅ ∆ FED?

**Solution:**

In ∆ ABC and ∆ FED,

Given that:

∠B = ∠E = 90° ( given)

∠A = ∠F ( given)

BC = ED

By using the angle sum property of triangles

⇒ ∠A + ∠B + ∠C = ∠E + ∠F + ∠D = 180°

⇒ 180° – ∠C = 180° – ∠D

Therefore, ∠C =∠D

Thus, ∆ ABC ≅ ∆ FED by ASA rule.

**Video Solution:**

## Explain, why ∆ ABC ≅ ∆ FED?

### Class 7 Maths NCERT Solutions - Chapter 7 Exercise 7.2 Question 10

Explain, why ∆ ABC ≅ ∆ FED?

∆ ABC ≅ ∆ FED by ASA rule. Hence it is explained.