The Great Gatsby- is George in love with Myrtle? what is their relationship like?

I know that Myrtle is a materialistic woman, and is cheating on her husband because of her dissatisfaction with living as the wife of a mechanic in the valley of ashes. Does George love her? Is that why he murders Gatsby, because he is sad he lost his beloved, or is it because his pride is offended because his wife was unfaithful to him?