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The equation a = \frac{180(n-2)}{n} can be rewritten as:
a = \frac{180n - 360}{n}
Multiplying both sides by n:
an = 180n - 360
Rearranging the equation:
an - 180n = -360
n(a - 180) = -360
Dividing both sides by (a - 180):
n = \frac{-360}{a - 180}
Therefore, the numerator of the fraction is -360.