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What is the value of each angle of an equilateral triangle?

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50 °

60 °

70 °

80 °

answer is B.

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Detailed Solution

Here, we have to find the value of each angle of an equilateral triangle
Let’s assume ABC is an equilateral triangle.
Question Image

It is a property that all sides of an equilateral triangle are equal.

Δ A B C,

we have

We know that the angles opposite to equal sides are equal.

Also,

From equation (2) and (3), we get:

Δ A B C,

using the angle sum property of a triangle, we have,
Question Image

Using the equation (4), we conclude that:

Thus, each angle of an equilateral triangle is 60°.
Hence, option (2) is correct.

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