Remove any excess fat from steak strips; place in shallow nonmetal dish. In small bowl, stir together tangerine juice, Hoisin sauce, soy sauce, and garlic. Pour mixture over meat; toss to coat.
Cover and chill 30 minutes to several hours. Drain meat, reserving marinade.
In a wok or large skillet over high heat, place 3 tablespoons of broth. Stir-fry broccoli three minutes. Remove from wok. Add more broth if needed; stir-fry onion and cabbage for two minutes. Remove from wok. Add more broth if needed; stir-fry water chestnuts and tangerine for one minute.
Add meat and cooked vegetables back to wok, along with reserved marinade. Toss well; cover and heat until meat is cooked. Serve with hot rice.