180°(n-2) =900°

To solve the equation \(180°(n-2) = 900°\), follow these steps:

1. Start with the equation: \[ 180°(n-2) = 900° \]

2. Divide both sides by 180° to isolate \(n-2\): \[ n-2 = \frac{900°}{180°} \]

3. Calculate the right side: \[ n-2 = 5 \]

4. Add 2 to both sides to solve for \(n\): \[ n = 5 + 2 \] \[ n = 7 \]

Thus, the solution is: \[ n = 7 \]