Question

The sum of interior angles of a polygon is $2340°$. How many sides does this polygon have ?

Answer 1

Sum of interior angles of any polygon with number of sides $n$ is $\left(n-2\right)\times 180°$

So, $$\begin{gathered} \left(n-2\right)\times 180°=2340° \\ (n-2)=\frac{2340°}{180°}=13 \\ n=13+2=15 \end{gathered}$$

Hence, the number of sides = $15$.