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State true or false.

An equilateral triangle is a polygon made up of three-line segments out of which two line

segments are equal to the third one and all its angles are $60 ∘$ each.

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True

False

answer is A.

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Detailed Solution

Given an equilateral triangle is a triangle with all of its sides of equal length in geometry. Because the three sides are equal, the three angles on the opposite side of the equal sides are also equal in size.
Let the equal angle be

θ

.
According to the angle sum property of triangle,

⇒ θ + θ + θ = 18 0 ∘

⇒ 3 θ = 180 ∘ ⇒ θ = 60 ∘

Therefore, the statement is true.
Hence, option (1) is correct.

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