Answer
Each arc has a measure of 120$^{\circ}$. The three points will form an equilateral triangle.
Work Step by Step
A circle has 360$^{\circ}$, divide this into three congruent arcs and each one will measure 120$^{\circ}$. The inscribed angles across from these arcs will be equal to half the measure of the arc, which is 60$^{\circ}$. A triangle with 3 angles equal to 60$^{\circ}$ is an equilateral triangle.
