No. A triangle cannot have two obtuse angles
Justification:
According to angle sum property,
We know that the sum of all the interior angles of a triangle should be = 180°.
An obtuse angle is one whose value is greater than 90° but less than 180°.
Considering two angles to be equal to the lowest natural number greater than 90°, i.e., 91°.
According to the question,
If the triangle has two obtuse angles, then there are two angles which are at least 91° each.
On adding these two angles,
Sum of the two angles = 91° + 91°
⇒ Sum of the two angles = 182°
The sum of these two angles already exceeds the sum of three angles of the triangle, even without considering the third angle.
Therefore, a triangle cannot have two obtuse angles.
