Question

what is the minimum number of degrees that the star below could be rotated so that it would look exactly the same as it did at its starting point? enter your answer in degrees.

Explanation:

Step1: Identify the number of rotational symmetries

A regular star (assumed here) has 5 - fold rotational symmetry.

Step2: Calculate the angle of rotation

The total angle of a full - turn is 360 degrees. For a shape with \(n\) - fold rotational symmetry, the minimum angle of rotation \(\theta\) is given by \(\theta=\frac{360}{n}\). Here \(n = 5\), so \(\theta=\frac{360}{5}=72\) degrees.

Answer:

72