Question

what is the angle of rotational symmetry for this regular polygon? a 240° b 90° c 120° d 36°

Explanation:

Step1: Recall rotation - symmetry formula

The formula for the angle of rotational symmetry of a regular polygon is $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of sides of the polygon.

Step2: Identify number of sides

The given polygon is a triangle, so $n = 3$.

Step3: Calculate the angle

Substitute $n = 3$ into the formula: $\theta=\frac{360^{\circ}}{3}=120^{\circ}$.

Answer:

C. $120^{\circ}$