Question

1. the figure below has rotational symmetry, what is the angle of rotation? show your calculations.

Explanation:

Step1: Identify symmetry order

The star has 5 identical arms, so its order of rotational symmetry $n=5$.

Step2: Calculate rotation angle

Full rotation is $360^\circ$. Divide by symmetry order.
$\text{Angle} = \frac{360^\circ}{n} = \frac{360^\circ}{5}$

Step3: Compute the result

Perform the division to get the angle.
$\frac{360^\circ}{5} = 72^\circ$

Answer:

$72^\circ$