Determine the measure of each of the equal angles of a right-angled isosceles triangle. OR

ABC is a right angled triangle

Consider on a right - angled isosceles triangle ABC such that

∠A = 90° and AB = AC Since,

AB = AC ⟹ ∠C = ∠B  .... (i)

[Angles opposite to equal sides are equal]

Now, Sum of angles in a triangle = 180°

∠A + ∠B + ∠C =180°

⟹ 90° + ∠ B+ ∠ B = 180°

⟹ 2∠B = 90°

⟹ ∠B = 45°

∠B = 45°, ∠C = 45°

Hence, the measure of each of the equal angles of a right-angled Isosceles triangle Is 45°