Question

If the sum of the interior angle measures of a polygon is 2340, then what kind of polygon is it?

Answer 1

Given:

The sum of interior angle measures of a polygon is 2340.

Required:

To find the type of polygon.

Explanation:

The formula for calculating the sum of interior angles is

$(n-2)\times180\degree$

Here,

$\begin{gathered} (n-2)\times180=2340 \\ \\ n-2=\frac{2340}{180} \\ \\ n-2=13 \\ \\ n=13+2 \\ \\ n=15 \end{gathered}$

Therefore, the polygon is 15 sided.

Final Answer:

The polygone is 15 sided.