To solve for \( n \) in the given formula \( S = (n - 2) \cdot 180 \), follow these steps:
1. Write down the equation:
[tex]\[
S = (n - 2) \cdot 180
\][/tex]
2. Isolate the term containing \( n \):
To do this, divide both sides of the equation by 180:
[tex]\[
\frac{S}{180} = n - 2
\][/tex]
3. Solve for \( n \):
Add 2 to both sides of the equation to isolate \( n \):
[tex]\[
n = \frac{S}{180} + 2
\][/tex]
So, the expression for \( n \) in terms of \( S \) is:
[tex]\[
n = \frac{S}{180} + 2
\][/tex]
This is the solved form of the equation for [tex]\( n \)[/tex].