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=((n-2)\cdot180)/(n)`

So, for n = 25, we have:

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

Therefore the correct option is the second one.