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

For a regular polygon with \(n\) sides, the angle of rotational symmetry \(\theta=\frac{360^{\circ}}{n}\).

Step2: Identify number of sides

The given polygon is a triangle, so \(n = 3\).

Step3: Calculate the angle

\(\theta=\frac{360^{\circ}}{3}=120^{\circ}\)

Answer:

C. \(120^{\circ}\)