Actually, the whole second paragraph doesn't make sense for me, as I don't know what aliquot means(in this context).

[quote]The set of angles ai satisfies a condition that the sum of angles  in any of its nonempty subsets is not aliquot to 360 degrees.[/quote]

I search for the word aliquot, and found something like "part of something" and "divisor". But I'm not sure how these would make sense here. Any clarifications are welcome.
Thanks

X is "aliqot Y" if there exists such ineger K satisfying equation X = K * Y, I suppose