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

Question

asked Nov 25, 2023 181k views

1 Answer

Bpedroso · Answer 1 · 2023-11-28T23:38:59+0000

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.