Question

Is the following statement true and false :

A triangle can have two right angles.

Options

• True

• False

Answer 1

A triangle can have two right angles.

According to the angle sum property of the triangle

In ΔABC

∠A + ∠B + ∠C = 180°

Now, if there are two right angles in a triangle

Let  ∠B = ∠C = 90°

Then, 

∠A + 90° + 90° = 180°

      ∠A + 180° = 180°

                ∠A = 180° - 180°

                 ∠A = 0°

(This is not possible.)