Answer
$m$ of the interior angles in a $25$-gon = $4140^{\circ}$
Work Step by Step
According to the Polygon Angle-Sum Theorem, the sum of all the measures of the interior angles of a polygon is $(n - 2)180$, where $n$ is the number of sides of the polygon.
We have a polygon that has $25$ sides.
$m$ of the interior angles in a $25$-gon = $(25 - 2)180$
$m$ of the interior angles in a $25$-gon = $(23)180$
$m$ of the interior angles in a $25$-gon = $4140^{\circ}$