How many obtuse angles does a triangle have?

1 Answer
Johnson Z.
Nov 26, 2015

A triangle can have a maximum of 1 obtuse angle.

Explanation:

Any triangle must have interior angles that add up to 180^@. An obtuse angle is an angle greater than 90^@ but less than 180^@.

If you had an angle that was 91^@. The other 2 angles would have to be acute. This is because the other angles would take up 180^@-91^@=89^@ of the triangle. Since 89^@ is less than 90^@, this means the other 2 angles must both be acute. You are left with 1 obtuse angle.

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