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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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State True/False.Two right angles are possible in a triangle.