Question

the measure of an interior angle of a regular polygon is given find the number of sides in the polygon

Answer 1

EXPLANATION.

1.Find the number of sides in the polygon with an interior angle of 160 degrees.

The exercise is as follows:

$\begin{gathered} 160n=(n-2)\times180 \\ 160n=(180\times n)-(180\times2) \\ 160n=180n-360 \\ 160n-180n=-360 \\ -20n=-360 \\ n=\frac{-360}{-20} \\ n=18, \\ \text{the answer is 18 sides } \end{gathered}$