Question

If two angles of a triangle are 60° each, then the triangle is ______.

विकल्प

• Isosceles but not equilateral

• Scalene

• Equilateral

• Right-angled

Answer 1

If two angles of a triangle are 60° each, then the triangle is equilateral.

Explanation:

Let ΔABC be the given triangle in which two angles are 60° each.

Now, ∠A +∠B + ∠C = 180°  ...(Angle sum property)

⇒ ∠A = 180° – 60° – 60°

∴ ∠A = 60°

Thus, all angles are 60°.

Hence, ΔABC is an equilateral triangle.