Question

In a right-angled triangle, the angles other than the right angle are ______.

Options

• obtuse

• right

• acute

• straight

Answer 1

In a right-angled triangle, the angles other than the right angle are acute.

Explanation:

In right angled ΔABC, ∠B = 90°

∴ ∠A + ∠B + ∠C = 180°  ......[Angle sum property of a triangle]

⇒ ∠A + 90° + ∠C = 180°

⇒ ∠A + ∠C = 180° – 90° = 90°

Hence, in a right-angled triangle, the angles other than the right angle are acute.