The formula below gives the sum of the degrees, S, of the interior angles of a polygon. If n represents the number of sides, which equation solves for n?

Respuesta :

Answer:

The equation representing the value of n is, [tex]n=\frac{S}{180^{\text{o}}}+2[/tex].

Step-by-step explanation:

The formula to compute the sum of the degrees, S, of the interior angles of a polygon is:

[tex]S=(n-2)\times 180^{\text{o}}[/tex]

Compute the equation of n as follows:

   [tex]S=(n-2)\times 180^{\text{o}}[/tex]

[tex]\frac{S}{180^{\text{o}}}=(n-2)[/tex]

   [tex]n=\frac{S}{180^{\text{o}}}+2[/tex]

Thus, the equation representing the value of n is, [tex]n=\frac{S}{180^{\text{o}}}+2[/tex].