How many obtuse angles does a triangle have?

Question

How many obtuse angles does a triangle have?

1 Answer

Impact of this question

24786 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-26T23:29:55

A triangle can have a maximum of $1$ $1$ obtuse angle.

Explanation:

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

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

Science

Math

Humanities

... and beyond

How many obtuse angles does a triangle have?

1 Answer

Explanation:

Related questions

Impact of this question