Question

How many obtuse angles can a triangle have?

• A. One
• B. Two
• C. Three
• D. None

Answer 1

The correct option is A

One

Sum of interior angles in a tringle = ${180}^{\circ }$.
An obtuse angle measures more than 90 degrees but less than 180 degrees.
A triangle can have only one obtuse angle because if there were two obtuse angles, then the sum of two obtuse angles would always be greater than ${180}^{\circ }$.
Hence, a triangle can have only one obtuse angle.