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In a regular triangle. (isosceles, right, or acute), the interior angles always add up to 180 degrees because in simplest terms, a triangle is basically a line that has been folded into three sections and every line is equivalent to 180 degrees. However... there are technically triangles that have interior angles that do not add up to 180 degrees! A pseudosphere is a triangle that is essentially "drawn" on a sphere resulting in each of the sides being curved. The interior angles of a pseudosphere actually add up to more than 180 degrees.

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Q: Why is the sum of triangles interior angle always 180 degree?
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