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Why is the least number of acute angles that a triangle can have

1 Answer

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A triangle must have at least two (2) acute angles.

-- An acute angle is an angle less than 90°.
-- If the triangle only had one of them, then both of
the other angles would each be bigger than 90°.
-- If they were, then just those 2 alone would add up to more than 180°.
-- That can't happen, because the 3 angles in a triangle
always add up to exactly 180°.
-- So the triangle can't have only 1 acute angle.
It must have either 2 of them, or else 3 of them.

User Tor Hovland
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