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Question
In a right-angled triangle, the angles other than the right angle are ______.
Options
obtuse
right
acute
straight
Solution
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.
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