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)*180 \\ 160n=(180* n)-(180*2) \\ 160n=180n-360 \\ 160n-180n=-360 \\ -20n=-360 \\ n=(-360)/(-20) \\ n=18, \\ \text{the answer is 18 sides } \end{gathered}`