Question

show that the angle of equilateral triangle are 60° each

Answer 1

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

3

x = 180

⇒

x = 60

Hence the answer.
hope it helps ☺️

Answer 2

from angle sum property of a triangle
angle 1+ angle 2 + angle 3 = 180°
and in an equilateral triangle , there are all angles equal
so taking one angle x
x+x+x = 180°
3x= 180°
x=180/3=60°
so one angle in an equilateral triangle = 60°