Answer
$m$ of the interior angles in a 15-gon = $2340^{\circ}$
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 in the polygon.
We have a polygon with $15$ sides. Let's find out what is the sum of the measures of all the interior angles in this polygon by using this formula:
$m$ of the interior angles in a 15-gon = $(15 - 2)180$
Evaluate what is in parentheses first, according to order of operations:
$m$ of the interior angles in a 15-gon = $(13)180$
Multiply to solve:
$m$ of the interior angles in a 15-gon = $2340^{\circ}$
