We want to determine the angles of rotational symmetry for the given polygon. To do so, notice that the figure looks like it might be an equilateral triangle which means it has three identical sides. Let's draw three segments from the vertices of the triangle to the middle.
Notice that if we draw a circle in the middle of the triangle we obtain three congruent angles.
Since a circle is 360^(∘), we know that the measure of each angle is equal to 120^(∘).
360^(∘)/3=120^(∘)
Then, if we rotate the triangle by 120^(∘), it will map onto itself.
This means that the given triangle has a rotational symmetry, and rotations of 120^(∘) map it onto itself. Therefore, the correct option F.
