Place chicken in a heavy-duty, zip-top plastic bag; pour lime juice over chicken. Seal bag, and shake until chicken is well coated. Marinate in refrigerator 1 hour, turning bag occasionally.
Combine cumin, chili powder, and red pepper in a small bowl. Remove chicken from marinade, discarding marinade. Sprinkle chicken with cumin mixture.
Coat rack of broiler pan with cooking spray. Place chicken, skinned side down, on rack; broil 8 inches from heat 25 minutes. Turn chicken, and broil 15 additional minutes or until done. Serve with Spanish-Style Rice.