Question

1. what is the angle of rotation for the following figure? 120° 90° 60° 45°

Explanation:

Step1: Identify the number of rotational symmetries

The figure has 6 - fold rotational symmetry.

Step2: Calculate the angle of rotation

The formula for the angle of rotation $\theta$ of a figure with $n$ - fold rotational symmetry is $\theta=\frac{360^{\circ}}{n}$. Here $n = 6$, so $\theta=\frac{360^{\circ}}{6}=60^{\circ}$.

Answer:

$60^{\circ}$