Question

prove that each angle of an equilateral triangle is 60

Answer 1

Angles of triangle=180 degrees

triangle A B C = 180 degrees

angle AB + Angle BC + Angle AC = 180 degrees

in equilateral triangle all sides are equal and hence all angles are equal. Hence AB=BC=AC

so 3AB=180 degrees
AB=180/3 degrees

so Angle AB = 60 degrees

Hence the proof
angle AB = Angle BC = Angle AC = 60 degrees