# 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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