Question

Maximum number of right angle in a right angled triangle
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Answer 1

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Maximum number of right angle in a right angled triangle

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Maximum number of right angles in a right-angled triangle is (b) 1.

Explanation:

The sum of the interior angles of a traingle is 180°.

For a right-angled traingle, one angle is 90° for sure and the sum of the other two angles is (180° - 90°) = 90°.

Without losing generosity, we take another angle being 90°.

Then the third angle be (90° - 90°) = 0°, which is contradictory to form a triangle.

Assumption is wrong and there can be only one right angle in a right-angled traingle.

$\fbox\color{blue}{Given}$

a triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. So, if a triangle has two right angles, the third angle will have to be 0 degrees which means the third side will overlap with the other side.

Answer 2

Answer:

There can only be one right angle in a triangle as the sum of two right angles is 180. But the Angler Sum Property of a triangle states that the sum of all three angles of the triangle equals to 180.

Hope it helps