#### Question

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

#### Solution

It is given that

AB = AC

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

In ΔABC,

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

⇒ 90º + ∠B + ∠C = 180º

⇒ 90º + ∠B + ∠B = 180º

⇒ 2 ∠B = 90º

⇒ ∠B = 45º

∴ ∠B = ∠C = 45º

Is there an error in this question or solution?

Solution ABC is a right angled triangle in which ∠A = 90º and AB = AC. Find ∠B and ∠C. Concept: Properties of a Triangle.