Question

In a triangle, one angle is of 90°. Then ______.

1. The other two angles are of 45° each
2. In remaining two angles, one angle is 90° and other is 45°
3. Remaining two angles are complementary

In the given option(s) which is true?

विकल्प

• (i) only

• (ii) only

• (iii) only

• (i) and (ii)

Answer 1

(iii) only

Explanation:

In a right-angled ΔABC

∠B = 90°

As we know,

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

⇒ ∠A + 90° + ∠C = 180°

⇒ ∠A + ∠C = 180° – 90° = 90°

Hence, the remaining two angles are complementary.