Question

How many obtuse angles does a triangle have?

Answer 1

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.