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Q.

Tell whether the following statement is true or false:


All the angles of a triangle can be greater than 60°.


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a

True

b

False 

answer is B.

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Detailed Solution

Given a statement, “all the angles of a triangle can be greater than 60°.”
Using angle sum property,
ACB+BAC+CBA= 180  
Triangle cannot have all angles that are greater than 60° because if there were, their sum would not be 180°. As we all know, a triangle's three angles add up to 180 degrees. A+B+C> 180   Therefore, all the angles of a triangle can’t be greater than 60°.
Given statement is false.
Hence, option 2 is correct.
 
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