Question

Each interior angle of a regular polygon with 15 sides is: (round to 1 decimal place, if necessary)Blank 1: _____ degrees

Answer 1

We have to find the measure of the interior angle of a regular polygon with 15 sides.

We can use the formula:

$\alpha=\frac{(n-2)}{n}\cdot180\degree$

where α is the interior angle and n is the number of sides of the polygon.

We can then calculate it as:

$\begin{gathered} \alpha=\frac{15-2}{15}\cdot180\degree \\ \alpha=\frac{13}{15}\cdot180\degree \\ \alpha=156\degree \end{gathered}$

Answer: 156 degrees.