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

In a right angled triangle, the sum of all angles is 180 degrees. Given that ∠A = 90 degrees and AB=AC (which means it's an isosceles triangle), the other two angles ∠B and ∠C are equal.

Let's denote ∠B = ∠C = x.

So, the sum of all angles in the triangle ABC would be ∠A + ∠B + ∠C = 180 degrees.

Substituting the given values, we get 90 degrees + x + x = 180 degrees.

Solving this equation, we get 2x = 180 degrees - 90 degrees = 90 degrees.

Therefore, x = 90 degrees / 2 = 45 degrees.

So, ∠B = ∠C = 45 degrees.