1. **Stating the problem:** We need to find the size of the reflex angle to the nearest degree given a protractor diagram with two rays forming an angle. 2. **Understanding reflex angles:** A reflex angle is an angle greater than 180° but less than 360°. 3. **Formula and rules:** If the smaller angle between the two rays is $\theta$, then the reflex angle is given by: $$\text{Reflex angle} = 360^\circ - \theta$$ 4. **Using the protractor reading:** From the description, the smaller angle between the rays is approximately $60^\circ$ (since one ray points up-left and the other down-left, the smaller angle is about 60°). 5. **Calculate the reflex angle:** $$\text{Reflex angle} = 360^\circ - 60^\circ = 300^\circ$$ 6. **Final answer:** The size of the reflex angle to the nearest degree is **300°**.