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?

S = (n-2) x 180

F. n = s/180 + 2
G. n = 180s + 2
H. n = s+2/180
J. n = (s+2) x 180

Answer 1

Answer: F. n = s/180 + 2

Explanation:

To find the equation that solves for n, we will isolate the n variable.

Given:

S = (n - 2) x 180

Divide both sides of the equation by 180:

`(S)/(180)` = n - 2

Add 2 to both sides of the equation:

`(S)/(180)` + 2 = n

Reflexive property:

n =
`(S)/(180)` + 2

F. n = s/180 + 2