IMC 2011 Q4
4. The angles of a triangle are in the ratio 2:3:5. What is the difference between the largest angle and the smallest angle?
- A 9°
- B 18°
- C 36°
- D 45°
- E 54°
Intermediate Mathematical Challenge 2011, Question 4. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 54°
The difference between the angles is \(\left(\dfrac{5}{10} - \dfrac{2}{10}\right) \times 180^\circ\).
Solution © UK Mathematics Trust, from the IMC 2011 solutions. Longer versions with investigations: Solutions and investigations (PDF).