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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.
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Earn +20 ptsQ: What is the angle relationship in a tessellation using precise math vocabulary?
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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.
Can a regular polygon with an angle measure of 160 degrees be used by itself to make a tessellation?
No, it is not possible.
How do you know when a regular polygon can be used by itself to make a tessellation?
It can be used only if the measure of its interior angle is a factor of 360 degrees.
What tools can help you find out the precise measurement of an angle?
A protractor is one of them
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