Question

In the given right angled triangle, AB=BC. Find all the three angles of the given triangle

Answer 1

HERE IS YOUR ANSWER

Answer 2

In the give figure AB = BC.

So, triangle ABC is an isosceles triangle .

Therefore AngleA = AngleC.

And

AngleB = 90°

So, ATQ, Angle( A. + B + C )= 180°[angle sum property of a triangle is 180°]

or Angle(90° + A + A) = 180°(since angle A = C)

or 2angleA = 180° - 90°

or 2angleA = 90°

Therefore angle A = 45°.

Therefore Angle A = C= 45° and angle B = 90°.