Question

The sum of the interior angles of a polygon with 10 sides can be expressed as 360n. What is the value of n? O 2 04 O 6 08

Answer 1

The sum of the interior angle of a polygon with 10 sides is equal to 1440°

If it can be expressed as 360n, then n is

`\begin{gathered} 360n=1440 \\ \\ \text{Divide both sides by 360} \\ (360n)/(360)=(1440)/(360) \\ \frac{\cancel{360}n}{\cancel{360}}=(1440)/(360) \\ n=4 \\ \\ \text{Therefore, }n\text{ is equal to }4 \end{gathered}`