Tell whether the following statement is true or false:

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

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True

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,

∠ A C B + ∠ B A C + ∠ C B A = 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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