In an equilateral triangle, all three angles are equal. The sum of the angles in any triangle is 180 degrees. Therefore, to find the measure of each angle in an equilateral triangle, you divide the total sum of the angles by the number of angles:
\[ \frac{180 \text{ degrees}}{3} = 60 \text{ degrees} \]
Thus, the measure of each angle of an equilateral triangle is 60 degrees.