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.
![\text{ Angle of rotation}=(360)/(5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/518m11k1hv435pn1wi5l0jomjkbyt9whhz.png)
Upon dividing 360 by 5 we will get,
![(360)/(5) =72](https://img.qammunity.org/2019/formulas/mathematics/middle-school/iin24c2ht8sqkkjj9srg4ntgijo8ve31uz.png)
Therefore, a rotation of 72 degrees will map one blade of ceiling fan to its adjacent blade.