Answer
$m$ of an exterior angle = $14.4^{\circ}$
Work Step by Step
The measure of one of the exterior angles of a polygon is given by the formula:
$\frac{360}{n}$, where $n$ is the number of sides in the polygon.
We have a polygon with $25$ sides, so let's plug this information into the formula:
$m$ of an exterior angle = $\frac{360}{25}$
Divide to solve:
$m$ of an exterior angle = $14.4^{\circ}$