Answer:
A rotation of 72 degrees will map one blade of ceiling fan to its adjacent blade.
Explanation:
We are told that a ceiling fan has 5 equally spaced blades. It will work as a regular pentagon.
We can find angle of rotation to map one blade on adjacent blade dividing 360 by 5 as sum of angles of regular pentagon equals to 360 degrees.

Upon dividing 360 by 5 we will get,

Therefore, a rotation of 72 degrees will map one blade of ceiling fan to its adjacent blade.