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There is no general relationship.
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
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What is the relationship between a tessellation and an angle?
The interior angle of a regular polygon must be a factor of 360 degrees for it to tessellate uniformly.
What is the importance of the interior angle measures in the polygons included in a tessellation?
It they weren't equal is wouldn't make a tessellation.
What is the angle relationship in a tessellation using precise math vocabulary?
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.
Can a regular polygon with an angle measure of 160 degrees be used by itself to make a tessellation?
No, it is not possible.
Is a triangle a tessellation?
Yes it is a tessellation.
