BFF Problems...help please!?

My BFF (we will call her R) and I have been friends for almost three years and we are both extremely self conscious about how we look. We ALWAYS depend on people's opinions to make us happy. But every time I receive a compliment she is sad and vice versa. What should I do to benefit both of us? And please don't suggest us not being friends anymore because I don't know what in the world I would do without her.