Question

The sum of the interior angles of a polygon with 10 sides can be expressed as 360n. What is the value of n?A. 2B. 4C. 6D. 8

Answer 1

SOLUTION:

The sum of interior angles of a polygon with n sides is given as;

$\begin{gathered} (n-2)180=360n \\ Insert\text{ n=10;} \\ 8(180)=360n \\ divide\text{ both sides by 360} \\ n=4 \end{gathered}$

Therefore, n = 4.