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

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

Explanation:

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

`S=(n-2)* 180^{\text{o}}`

Compute the equation of n as follows:

`S=(n-2)* 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`.