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because that's all the degrees that three sides of any length put together (a triangle) can hold- any less and it wouldn't even be a polygon, and any more and it would have to have more sides

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13y ago

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What is the sum of the angle measures in a regular hexagon?

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In a polygon with n sides, the sum of the interior angles is given by (n-2) * 180 degrees. Each triangle has interior angle sum of 180 degrees. Therefore, the number of triangles that can be formed in a polygon is equal to (n-2) * 180 / 180, which simplifies to (n-2). In other words, the number of triangles is two less than the number of sides in the polygon.


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