Respuesta :
Answer: The required degree of rotation of the given polygon is 18°.
Step-by-step explanation: We are given to find the degree of rotation of a regular 20-sided polygon.
We know that
if a regular polygon has n number of sides, then its degree of rotation is given by
[tex]d=\dfrac{360^\circ}{n}.[/tex]
For the given polygon, we have
n = 20.
Therefore, the degree of rotation of the given polygon is
[tex]d=\dfrac{360^\circ}{n}=\dfrac{360^\circ}{20}=18^\circ.[/tex]
Thus, the required degree of rotation of the given polygon is 18°.