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Q.

Tell whether the following statement is true or false:

All the angles of a triangle can be less 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 less than 60°.”
Triangles cannot include any angles smaller than 60° since their sum would not reach 180° if they did.
Since all three triangle angles add up to 180 degrees,
We know that,

∠ A + ∠ B + ∠ C < 180 ∘

.
Hence, all the angles of a triangle cannot be less than 60°.
Given statement is false.
Hence, option 2 is correct.

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