Solve for n
á = (n-2) * 180 / n = 180 – 360/n
To solve for n in the equation á = (n-2) * 180 / n = 180 – 360/n, we need to isolate n on one side of the equation. Here's how you can do it:
1. Start by simplifying the equation. Distribute the (n-2) term on the right side of the equation:
á = (n-2) * 180 / n = 180 – 360/n
á = 180 - (180/n) * (n-2)
2. Combine like terms on the right side:
á = 180 - (180 - 360/n)
3. Simplify further:
á = 180 - 180 + 360/n
á = 360/n
4. Cross-multiply:
á * n = 360
5. Divide both sides of the equation by á:
n = 360 / á
So, the solution for n in terms of á is n = 360 / á.