Question 1105418
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The n-th roots of unity are distributed evenly, with the angle in degrees between them being 360/n.<br>
The angle between any two "successive" 3rd roots of unity is 360/3 = 120 degrees.
The angle between any two "successive" 4th roots of unity is 360/4 = 90 degrees.  (The four 4th roots of unity are i, -1, -i, and 1).
The angle between any two "successive" 5th roots of unity is 360/5 = 72 degrees.
The angle between any two "successive" 6th roots of unity is 360/6 = 60 degrees.
etc., etc.,...