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Question

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


A

Obtuse

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B

Right

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C

Acute

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D

Straight

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Solution

The correct option is C

Acute


Explanation for correct option:

Find the measure of the other two angles of the right-angled triangle.

We know that the sum of all the interior angles of any triangle must be 180°.

In a right-angled triangle, the measure of one angle is 90°.

Then the sum of the remaining two angles are 180°-90°=90°.

Since, the sum of two angles is 90°, then the measure of each angle will be less than 90°, or acute.

Thus, a right triangle has two acute angles other than the right angle.

Hence, Option(C) is the correct answer.


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