The equation a= 180(n-2)/n represents the angle measures, a, in a regular n-sided polygon. when the equation is solved for n, n is equal to a fraction with a denominator of a – 180. what is the numerator of the fraction?

-360.

Step-by-step explanation:

We have been give an equation , which represents the angle measures, a, in a regular n-sided polygon. We are asked to find the numerator of the fraction, while solving our equation for n.

Let us multiply both sides of our equation by n.

Upon distributing 180 we will get,

Let us subtract 180n to both sides of our equation.

Let us factor out n from left hand side of our equation.

Let us divide both sides of our equation by a-180.

Therefore, the numerator of our fraction with a denominator of (a-180) will be -360.  

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step-by-step explanation:

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