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Q.

State True/False.

Two right angles are possible in a triangle.

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a

True

b

False

answer is B.

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Detailed Solution

Here, we have to find whether two right angles are possible in a triangle or not.
As we know that the value of a right angle is 90° and the sum of all angles in a triangle is always 180°.
For example:
Let’s assume that the three angles of a triangle are

90 °, 90 ° and 60 °

respectively in which

90 ° and 90 °

are two right angles in a triangle.
By angle sum property of a triangle, the sum of all the angles should be

180 °

.

⇒ 90 ° + 90 ° + 60 ° ⇒ 240 °

As we can see that, the sum of all the angles is not

180 °

.
Therefore, there cannot be two right angles in a triangle.
Thus, the given statement is false.
Hence, option (2) is correct.

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