2025 · Q36
The difference between the acute angles of a right-angled triangle is π/12. What is one of the acute angles?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A37.5°
- B45°
- C52.5°
- D60°
Explanation
The acute angles sum to 90 degrees and differ by 15 degrees, so they are 52.5 and 37.5 degrees. The keyed answer is 52.5 degrees (both values satisfy the conditions; 52.5 is the larger). Listing only one angle and missing the other is the oversight to avoid.