In triangle PQR, the measure of angle P is (2x + 10)°, the measure of angle Q is 3x°, and the measure of angle R is (x + 20)°. What is the measure of the largest angle?
- Angle sum: (2x + 10) + 3x + (x + 20) = 180, so 6x + 30 = 180.
- 6x = 150, so x = 25.
- Angles: P = 2(25) + 10 = 60°, Q = 3(25) = 75°, R = 25 + 20 = 45°. Check: 60 + 75 + 45 = 180.
Answer: 75° (angle Q)