Question

show that all angles of a equilateral triangle is 60 degrees

Answer 1

we know all the sides of a equilateral triangle are equal so all the angles of it is also equal
let an angle = x
then the 2nd angle = x
and 3rd angle = x

using the angle sum property of a triangle
x+x+x=180°
3x= 180°
x= 180/30= 60°
so all the angles of a equilateral triangle are equal

hope this will help

Answer 2

We know that a equilateral triangle have it's all three sides equal
And acc to the property "equal sides of a triangle having equal angle" as shown in figure
=> All the angles of equilateral triangle are equal
Let one of them is = x
=> x+x+x= 180 (sum of all angles in triangle )
=> 3x= 180
=> x =60