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Answer:
The rotational angle of a regular polygon with 72 sides is 5º.
Step-by-step explanation:
The rotational angle ([tex]\theta[/tex]), measured in sexagesimal degrees, of polygon of [tex]n[/tex] sides is the angle of a complete revolution divided by the number of sides ([tex]n[/tex]). That is:
[tex]\theta = \frac{360}{n}[/tex] (1)
If we know that [tex]n = 72[/tex], the rotational angle is:
[tex]\theta = \frac{360}{72}[/tex]
[tex]\theta = 5^{\circ}[/tex]
The rotational angle of a regular polygon with 72 sides is 5º.