Question

If sum of all the interior angles of a polygon is ${3060}^{\circ }$, then the number of the sides in the given polygon is

Answer 1

The sum of all the interior angles of a polygon
$=(n-2)\times {180}^{\circ }$
Given condition,
$(n-2)\times {180}^{\circ }={3060}^{\circ }$
$\Rightarrow n-2=17\Rightarrow n=19$

Hence, the polygon has $19$ sides.