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State True/False.

Each angle in a triangle can be 60 degrees.

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True

False

answer is A.

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Detailed Solution

As all the angles are equal
We need to proof that each angle in a triangle can be 60 degrees.
Let's consider a triangle ABC such that all the angles are equal.
Question Image

Then we have,

∠ A + ∠ B + ∠ C = 180 °

As all the angles are equal

⇒ ∠ A = ∠ B = ∠ C ⇒ ∠ A + ∠ A + ∠ A = 180 ° ⇒ 3 ∠ A = 180 ° ⇒ ∠ A = 60 ° ⇒ ∠ A = ∠ B = ∠ C = 60 °

Therefore, a triangle can have each angle equal to 60°.
Thus, the given statement is true.
Hence, option (1) is correct.

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