Which of the following statements is/are correct?
A. A triangle can have all angles less than 60°.
B. A triangle can have one obtuse angle.
C. A triangle can have two right angles.
D. A triangle can have two acute angles.

Correct option is B

Solution:

Option(A) A triangle can have all angles less than 60°:

Incorrect. The sum of the angles in a triangle is 180°. If all angles were less than 60°, their sum would be less than 180°, which contradicts the fundamental property of triangles.

Option(B) A triangle can have one obtuse angle:

Correct. A triangle can have one obtuse angle (greater than 90°), as the sum of the remaining two angles will still allow for the sum to be 180°.

Option(C) A triangle can have two right angles:

Incorrect. The sum of the angles in a triangle is 180°. Two right angles alone would add up to 180°, leaving no room for a third angle, which is not possible in a triangle.

Option(D) A triangle can have two acute angles:

Correct. A triangle can have two acute angles (less than 90°), and the third angle would adjust accordingly to ensure the sum of the angles is 180°.

The correct statements are B and D.