Question

In a right-angled triangle if two angles other than right angle are equal. Find all the angles of the
triangle.​

Answer 1

Answer:

The angles are 90° , 45° and 45°

Step-by-step explanation:

Given,

• The triangle is right angled triangle
• The two angles other than right angle are equal.

To find,

• all the angles of the triangle.

Solution,

     Since the triangle is right angled triangle

One of the angles is 90°

The other two angles are equal.

Let each angle be θ

∠A = ∠C = θ

∠B = 90°

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we know,

Sum of all the angles in a triangle = 180°

    ∠A + ∠B + ∠C = 180°

     90° + θ + θ = 180°

      90° + 2θ = 180°

         2θ = 180° - 90°

         2θ = 90°

          θ = 90/2

          θ = 45°

The other two angles are 45° each.

Hence, the angles of the given right angled triangle are 90° , 45° and 45°