1. The problem asks to convert angles given in radians to degrees without using a calculator. 2. Recall the conversion formula between radians and degrees: $$\text{Degrees} = \text{Radians} \times \frac{180}{\pi}$$ 3. For part (a), the angle is $$\frac{11}{6}\pi$$ radians. Using the formula: $$\frac{11}{6}\pi \times \frac{180}{\pi} = \frac{11}{6} \times 180 = 11 \times 30 = 330^\circ$$ 4. For part (b), the angle is $$\frac{38}{15}\pi$$ radians. Using the formula: $$\frac{38}{15}\pi \times \frac{180}{\pi} = \frac{38}{15} \times 180 = 38 \times 12 = 456^\circ$$ 5. Final answers: (a) $$330^\circ$$ (b) $$456^\circ$$