Star Study - Integral Angles

Geometry Level 3

Take \(n\) points that are equally spaced on the circumference of a circle. For each point, connect it to the 2 points that are furtherest away from it, but not diametrically opposite to it. This forms an \(n\) pointed star.

For how many integers \(n \geq 5 \) is the measure (in degrees) of an individual internal angle in an \(n\) pointed star also an integer?

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