Question

prove that each angel of an equilateral triangle is 60°​

Answer 1

Answer:

In a triangle , angle A + B + c = to 180 degree since in equilateral triangle all angles are equal then 3x equals to 180 degree means X equals to 180 degree divided by 3 so the answer will be 60 degree

step by step explanation

let the angles be x so all three angles will be 3x when we add it

Answer 2

For an equilateral triangle, we know that all 3 sides of the triangle are equal. Accordingly, all the 3 sides of the equilateral triangle hold equal angles.

Since, we know, that the sum of all angles of any triangle be 180° .

Let each angle be a.

Thus, a+a+a=180∘

⇒3a=180∘

⇒a= 180∘/3

⇒a=60∘

Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.

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