1. The problem asks to convert an angle of $-4.5$ radians to degrees, rounding to the nearest tenth. 2. The formula to convert radians to degrees is: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. Substitute $-4.5$ for radians: $$\text{degrees} = -4.5 \times \frac{180}{\pi}$$ 4. Calculate the fraction: $$\frac{180}{\pi} \approx 57.2958$$ 5. Multiply: $$-4.5 \times 57.2958 = -257.8311$$ 6. Round to the nearest tenth: $$-257.8$$ Therefore, $-4.5$ radians is approximately $-257.8$ degrees.