Question

If ∆ABC is a right angled triangle in which ∠ A = 900and AB = AC. Prove that ∠ B and ∠Cis 450each.​

Answer 1

Step-by-step explanation:

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°

Answer 2

answer: ABC is a right angle triangle in which angle a 90 and AB AC find angle B and angle C

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°).