PK 2020 Q12
12. Two squares of different sizes are drawn inside an equilateral triangle. One side of one of these squares lies on one of the sides of the triangle as shown. What is the size of the angle marked by the question mark?
- A 25°
- B 30°
- C 35°
- D 45°
- E 50°
Pink Kangaroo 2020, Question 12. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 50°
On the diagram is a pentagon outlined, and four of its angles are known. The sum of the angles in a pentagon is 540°. The missing angle is then 540° −270° − 70° − 60° − 90° = 50°.
Solution © UK Mathematics Trust, from the PK 2020 solutions.