Question

what is the number of sides of a polygon whose measure of an interior angle is 156?

Answer 1

15 sides.

Answer 2

If each side of the polygon is 156 degrees, set 156 = (n-2) × 180° / n and solve for n, where n is the number of sides.

Answer 3

\(\large \begin{array}{rllll}
&&\textit{number of sides}\\
&\downarrow&\downarrow\\
156\cdot &n=(&n-2)\cdot 180\\
\uparrow\\
\textit{sum of interior angles}
\end{array}\) solve for "n"