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].