Question

What is the measure of an interior angle of a 25-gon?25°165.64°360°180

Answer 1

In order to calculate the interior angle of a regular 25-gon, we can use the formula below for the interior angle of a regular polygon with n sides:

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

So, for n = 25, we have:

$\begin{gathered} a_{25}=\frac{(25-2)\cdot180}{25} \\ a_{25}=\frac{23\cdot180}{25} \\ a_{25}=165.6\degree \end{gathered}$

Therefore the correct option is the second one.