When you are sincerely being kind to that person, usually they learn from you. Then they become kind to you, however, sometimes it takes time.
When you practice patience, it is unbelievable. Patience brings success and happiness in this life and in future lives, in hundreds of thousands of lifetimes. Through the development of patience you can achieve enlightenment, in order to free that person from the oceans of suffering of samsara. Also you can enlighten them, with bodhicitta utilizing the harm to achieve enlightenment, the happiness of every sentient being of the six realms. You can benefit them like that.
In Sydney, Australia, one family bought a new car but the neighbor did not like that family and he made marks (scratches) on the car one or two times. The mother of the family asked a student what to do about this. The student explained to the mother what he thought I, Lama Zopa, would do to the neighbors who were marking the car. He thought I would buy them a present, whatever the enemy would like.
The mother checked what the neighbor would like and it seems he would like a ball very much, so she bought a few balls. In the beginning he did not accept the balls, but then he accepted them. He was very happy and he erased the marks on the car.
Your friend who is angry toward you, that means she is most kind to you, if you use that to practice patience or compassion toward her. Then you are able to achieve enlightenment quickly; you are able to liberate mother sentient beings from the oceans of suffering of samsara and bring them to full enlightenment. If someone is only nice to you, flattering you, giving you food and so forth, that just brings attachment and it becomes the cause of samsara and rebirth in the lower realms.