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no it can't If each angle is 150 so 150 times anything does not equal 360

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A correct answer but incorrect reasoning. First, there is no requirement in the question that the polygon is regular so the each angle need not be 150 degrees. As a counter-example to your reasoning, each interior angle of a regular pentagon is 108 degrees. 108 times anything does not equal 360. Yet there are 14 different non-regular pentagons which can be used to tile a surface.

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Q: Can copies of a dodecagon be used to tile a surface?
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