# ABC is a right-angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.

**Solution:**

We can use the property that angles opposite to equal sides are equal and then by using angle sum property in triangle ABC we can find the value of ∠B and ∠C.

It is given that,

AB = AC

∴ ∠C = ∠B (Angles opposite to equal sides are also equal)

Let ∠B = ∠C = x

In ΔABC,

∠A + ∠B + ∠C = 180° (Angle sum property of a triangle)

90°+ x + x = 180°

90°+ 2x = 180°

2x = 90°

x = 45°

∴ ∠B = ∠C = 45°

**Video Solution:**

## ABC is a right-angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.

### NCERT Maths Solutions Class 9 - Chapter 7 Exercise 7.2 Question 7:

**Summary:**

If ABC is a right-angled triangle in which ∠A = 90° and AB = AC, then the value of ∠B and ∠C are equal to 45°(∠B = ∠C = 45°).