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Question
In a triangle, one angle is of 90°. Then ______.
- The other two angles are of 45° each
- In remaining two angles, one angle is 90° and other is 45°
- Remaining two angles are complementary
In the given option(s) which is true?
Options
(i) only
(ii) only
(iii) only
(i) and (ii)
Solution
(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.
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