Chapter 11, Problem 13STP

To determine

To find:the angle of rotational symmetry in degrees in the given figure.

Answer to Problem 13STP

  ${72}^{\circ }$

Explanation of Solution

Given:

The given figure is shown below:

  

Calculation:

A shape has arotational symmetry when it still looks like the same after a rotation (of less than one full turn). The star can be rotated to five different positions and each look like the same.

Therefore, the angle of rotation is dividing by it to ${360}^{\circ }$ .

  $\Rightarrow \frac{{360}^{\circ }}{5}={72}^{\circ }$

Hence, the angle of rotational symmetry in degrees is ${72}^{\circ }$ .