An exterior angle of a regular polygon is 25.5^ exto. Find the number of sides.

Here are the solutions to the problems.

:
An exterior angle of a regular polygon is $25.5^\circ$. Find the number of sides.
The formula for the exterior angle of a regular polygon with $n$ sides is given by:

$$\text{Exterior Angle} = \frac{360^\circ}{n}$$

Given the exterior angle is $25.5^\circ$:

$$25.5^\circ = \frac{360^\circ}{n}$$

Step 1: Solve for $n$.

$$n = \frac{360}{25.5}$$ $$n = \frac{3600}{255}$$ $$$$