Answer:
[tex]n=\frac{-360}{A-180}[/tex]
Step-by-step explanation:
Step 1: Write out equation
[tex]A=\frac{180(n-2)}{n}[/tex]
Step 2: Multiply both sides by n
[tex]An=180(n-2)[/tex]
Step 3: Distribute
[tex]An=180n-360[/tex]
Step 4: Subtract 180n on both sides
[tex]An-180n=-360[/tex]
Step 5: Factor out n
[tex]n(A-180)=-360[/tex]
Step 6: Divide both sides by (A - 180)
[tex]n=\frac{-360}{A-180}[/tex]
