What is the measure of the two equal angles of a right isosceles triangle?

Concept:

Angle sum property: The sum of angles of a triangle is 180°

Calculation:

Here, we have to find the measure of the two equal angles of a right isosceles triangle.

Let Δ ABC be a right isosceles triangle with ∠ B = 90° and AB = BC.

As we know, the angles opposite to equal sides are also equal.

⇒ ∠ACB = ∠BAC = x

Now by angle sum property, we have

⇒ x + x + 90° = 180°

⇒ x = 45°

Hence, the measure of the two equal angles of a right isosceles triangle is 45°.

Key Points

In a right isosceles triangle, one angle will be 90° and the other two sides will be equal.

The angles opposite to equal sides will also be equal.