Question

If the sum of the interior angles of a polygon is ${2340}^0$ , then find the number of sides of the polygon.

Answer 1

Sum of exterior angles of a polygon is $360°$.

As we know that sum of all interior and exterior angles of a polygon with $n$ sides is $180°\times n$.

As given that the sum of interior angles of a polygon is $2340°$

Therefore,

$180°\times n=(2340°+360°)$

$n=\frac{2700°}{180°}$

$n=15$

Thus the polygon has $15$ sides.

Hence the correct answer is $15$.