Question

Deshawn draws a regular pentagon and rotates it about its center. Which angle measures can Deshawn rotate the regular pentagon through to map it onto itself?

Answer 1

Any integer multiple of `72^@ = (2pi)/5 " radians"`

Explanation:

Rotating about the center by any series of `72^@` steps will remap the internal triangular components unto the next adjacent triangular component within the pentagon.