Two curves on a highway have the same radii. However, one is unbanked and the other is banked at an angle \( \theta \). A car can safely travel along the unbanked curve at a maximum speed \( V_0 \), under conditions when the coefficient of static friction between the tires and the road is 0.80. The banked curve is frictionless, and the car can negotiate it at the same maximum speed \( V_0 \).

Find the angle \( \theta \).