Question

Find the sum of an interior angles of a polygon with:
$13$ sides

Answer 1

Find the sum of interior angles

Given: $n=13$
We know that the sum of interior angles of a polygon is,
$(n-2)\times {180}^{\circ }$
where $n$ is the number of sides.

$\therefore$ Sum of interior angles $=(n-2)\times {180}^{\circ }$
$=(13-2)\times {180}^{\circ }$
$=11\times {180}^{\circ }$
$={1980}^{\circ }$

Hence, the sum of interior angles of a polygon with $13$ sides is ${1980}^{\circ }$.