1. The problem asks to estimate the rotation angle in degrees within 10 degrees for a ray in Quadrant II starting from the positive x-axis. 2. Recall that the coordinate plane is divided into four quadrants: - Quadrant I: angles from 0° to 90° - Quadrant II: angles from 90° to 180° - Quadrant III: angles from 180° to 270° - Quadrant IV: angles from 270° to 360° 3. The green ray in the graph lies in Quadrant II, which means the angle is between 90° and 180°. 4. The problem states the angle is approximately 135°, which is the midpoint of Quadrant II. 5. Since the problem asks for an estimate within 10 degrees, the angle can be approximated as: $$135^\circ \pm 10^\circ$$ 6. This means the angle is between 125° and 145°, which fits well within Quadrant II. 7. Therefore, the estimated rotation angle is approximately 135 degrees. Final answer: $$\boxed{135^\circ}$$