Question

1. what is the angle of rotation for the following figure? 72° 90° 60° 120°

Explanation:

Step1: Recall rotation - angle formula

The formula for the angle of rotation of a regular - shaped figure is $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of times the figure coincides with itself in a full - 360 - degree rotation.

Step2: Determine the value of n

Count the number of identical parts in the figure. The figure has 5 identical parts, so $n = 5$.

Step3: Calculate the angle of rotation

Substitute $n = 5$ into the formula: $\theta=\frac{360^{\circ}}{5}=72^{\circ}$.

Answer:

A. $72^{\circ}$