Question

The sum of the interior angles of a polygon is$2160°$. How many sides does this polygon have ?

Answer 1

The sum of the interior angles of a polygon is a $2160$ degrees

Therefore,

$$\begin{gathered} 2160=(n-2)\times 180° \\ n-2=\frac{2160}{180} \\ n=12+2 \\ n=14 \end{gathered}$$

Hence, $14$ sides does this polygon have.