Show that the angles of an equilateral triangle are 60° each.

In equilateral triangle all sides are equal.

AB = BC = CA

∴ ∠C = ∠A = ∠B = x° (Angles opposite to equal sides are equal).

Sum of angles of triangle = 180°

∠A + ∠B + ∠C = 180°

x° + x° + x° = 180°

3x° = 180°

x = 60°.

Hence, proved that angles of an equilateral triangle are 60° each.