(n-2)*180/n=108

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Solution for (n-2)*180/n=108 equation: 



(n-2)*180/n=108

We move all terms to the left:

(n-2)*180/n-(108)=0



Domain of the equation: n!=0

n∈R



We multiply all the terms by the denominator


(n-2)*180-108*n=0

We add all the numbers together, and all the variables

-108n+(n-2)*180=0

We multiply parentheses

-108n+180n-360=0

We add all the numbers together, and all the variables

72n-360=0

We move all terms containing n to the left, all other terms to the right

72n=360

n=360/72

n=5

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