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(n - 2) times 180 degrees. Triangle: n=3, n-2=1 ===> 180 degrees Square: n=4, n-2=2 ===> 360 degrees etc.

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Q: What do the angles inside an n-sided shape add up to?
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Why do some shapes make tilings and some do not?

It all matters what the inside angles measure up to. If the inside angles measure up to 360 degrees, the shape will tile. If the inside angles do not add up to 360 degrees, the shape won't tile.


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