The interior angle of a regular polygon must be a factor of 360 degrees for it to tessellate uniformly.
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It they weren't equal is wouldn't make a tessellation.
they both measure the angle in degrees
The COEFFICIENT of Refraction.
If you want mathematical precision then the answer is that there need not be any angles at all and so there can be no angle relationship. Shapes like dumb-bells will tessellate, and these will have no angles. There are very many other shapes: see MC Escher's Symmetry artwork for examples.
consecutive angles