How many obtuse angles does a triangle have?

1 Answer
Nov 26, 2015

Answer:

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.