A triangle can have:
Quantitative Aptitude ·Previously asked in SSC CGL 2025
View the full solved paper: SSC CGL 2025 Tier I — 17 Sep 2025 (Shift 1)
Question
A triangle can have:
- A. Two right angles
- B. One obtuse angle and one right angle
- C. Only one right or one obtuse angle (Correct answer)
- D. Three acute angles each measuring more than 60°
Correct Answer
Option C — Only one right or one obtuse angle
Detailed Solution & Explanation
The correct answer is Only one right or one obtuse angle.
Key Points
- The angles of a triangle sum to 180°.
- Two right angles would already total 180°, leaving 0° for the third — impossible.
- A right and an obtuse angle exceed 180°.
- Three angles each above 60° would exceed 180°.
- So a triangle can contain at most one angle that is right or obtuse.
- This 'angle-sum = 180°' constraint is the single fact that eliminates all three wrong options.
Topics covered: SSC CGL maths Quantitative Aptitude SSC CGL 17 Sep 2025 Q68