1. **State the problem:** We have three points A, B, and C. The bearing of B from A is 050° and the bearing of C from B is 110°. We need to find the size of angle ABC. 2. **Understanding bearings:** Bearings are measured clockwise from the north direction. So, a bearing of 050° means the direction from A to B is 50° clockwise from north. 3. **Find the directions of lines AB and BC:** - Direction of AB from A is 50°. - Direction of BC from B is 110°. 4. **Calculate the angle ABC:** The angle ABC is the angle at point B formed by points A and C. This is the difference between the directions of BA and BC. 5. **Find the direction of BA:** Since AB is 50°, the direction from B to A (BA) is the opposite direction, which is $50° + 180° = 230°$ (if this exceeds 360°, subtract 360°, but here it does not). 6. **Calculate the difference between directions BA and BC:** $$\text{Angle ABC} = |230° - 110°| = 120°$$ 7. **Interpretation:** The angle at B between points A and C is 120°. **Final answer:** $$\boxed{120°}$$