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=((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=(15-2)/(15)\cdot180\degree \\ \alpha=(13)/(15)\cdot180\degree \\ \alpha=156\degree \end{gathered}`

Answer: 156 degrees.