Answer
Each angle of an equilateral triangle measures $60^{\circ}$.
Work Step by Step
In an equilateral triangle, all the three sides are equal and all the three angles are also equal to each other.
Assuming that each angle measures $ x^{\circ}$
Now all the three angles of the said triangle are $ x^{\circ}$ , $ x^{\circ}$ and $ x^{\circ}$
We know that all the three angles of a triangle add up to $ 180^{\circ}$,
Therefore
$ x^{\circ}$ + $ x^{\circ}$ + $ x^{\circ}$ = $ 180^{\circ}$
$ 3x^{\circ}$ = $ 180^{\circ}$
$ x^{\circ}$ = $\frac{180}{3}$ = $ 60^{\circ}$
Thus measure of each angle of an equilateral triangle is $ 60^{\circ}$.
