Question

identify the smallest angle of rotation that creates symmetry. show your work here 60° 120° 180° 360°

Explanation:

Step1: Recall the formula for rotational symmetry angle

The formula for the smallest angle of rotational symmetry is $\frac{360^{\circ}}{n}$, where $n$ is the number of times the figure coincides with itself in a full - $360^{\circ}$ rotation.

Step2: Count the number of identical parts

Looking at the figure, we can see that it has 3 identical parts.

Step3: Calculate the angle

Using the formula $\frac{360^{\circ}}{n}$, with $n = 3$, we get $\frac{360^{\circ}}{3}=120^{\circ}$

Answer:

$120^{\circ}$