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Given the following formula, solve for \( n \):

[tex]\[ S = (n - 2) 180 \][/tex]



Answer :

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].