Question

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?

Answer 1

Answer:

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

Step-by-step explanation:

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

$S=(n-2)\times 180^{\text{o}}$

Compute the equation of n as follows:

   $S=(n-2)\times 180^{\text{o}}$

$\frac{S}{180^{\text{o}}}=(n-2)$

   $n=\frac{S}{180^{\text{o}}}+2$

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