Home > Geometry > Angles with Triangles and Polygons

How many obtuse angles does a triangle have?

Answer 1

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

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.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Trending questions

Not the question you need?

HIX Tutor

Solve ANY homework problem with a smart AI

98% accuracy study help
Covers math, physics, chemistry, biology, and more
Step-by-step, in-depth guides
Readily available 24/7