Question

Prove that each angle of equilateral triangle is 60° .​

Answer 1

Answer:

By angle sum property we know that the sum of all the angles of a triangle is 180

We know that all the sides of a triangle are equal.

i.e all the angles of an equilateral triangle are equal.

Let each angle be x.

x+x+x=180

60o

3x = 180

⇒x = 60

Hence the answer.

Answer 2

Take each angle of a triangle as x

And consider the sides of the triangle as isosceles triangle to respective three angle.

Then we get all three angles are equal.

I. e. Angle A=x= Angle B=x=Angle C= x

Then use Angle sum property..

x+x+x=180

3x=180

x=180/3

x=60°