Solve for n S=(n-2)*180

$S = (n - 2) \cdot 180$

Step 1

Rewrite the equation as $(n - 2) \cdot 180 = S$ .

$(n - 2) \cdot 180 = S$

Step 2

Divide each term in $((n - 2) \cdot 180) = S$ by $180$ and simplify.

Divide each term in $((n - 2) \cdot 180) = S$ by $180$ .

$\frac{((n - 2) \cdot 180)}{180} = \frac{S}{180}$

Simplify the left side.

Cancel the common factor of $180$ .

Cancel the common factor.

$\frac{(n - 2) \cdot 180}{180} = \frac{S}{180}$

Divide $n - 2$ by $1$ .

$n - 2 = \frac{S}{180}$

Step 3

Add $2$ to both sides of the equation.

$n = \frac{S}{180} + 2$