Question

prove that all the angles of an equilateral triangle are 60°

Answer 1

We know that angles opposite to equal sides are equal
So in a equilateral triangle all the sides are equal and as sides are equal angles are also equal so the angles of a triangle are x,x,x
So by angle sum property
X+x+x=180degree
3x=180
X=180/3
X=60
So the angles of the equilateral triangle are 60,60,60
Hence angles of a equilateral triangle 60degree each
Hence proved

Answer 2

To Prove:- All angle of an equilateral triangle is 60°.

Proof:- We know that in an equilateral triangle all sides are equal.

So let us take any one side as x.

Such that,

x+x+x=180° {Angle sum property of a triangle}

3x=180°

x=180°/3

x=60°

Hence, proved.

Hope this helps you.