1. The problem is to convert an angle from degrees to radians, specifically 135.0°. 2. The formula to convert degrees to radians is: $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$ 3. Applying the formula: $$135.0 \times \frac{\pi}{180}$$ 4. Simplify the fraction: $$\frac{135.0}{180} = \frac{\cancel{135.0}}{\cancel{180}} = \frac{3}{4}$$ 5. So the radians measure is: $$\frac{3}{4} \pi$$ 6. To express this as a decimal rounded to three significant digits, calculate: $$\frac{3}{4} \times 3.14159 = 2.356$$ 7. Final answer: $$135.0^\circ = \frac{3}{4} \pi \text{ rad} \approx 2.36 \text{ rad}$$