Is there a little difference between 1,2,3 and 4?
1, I'm upset that he lied to me.
2, I'm angry that he lied to me.
3, I'm upset or angry that he lied to me.
4, I'm upset and angry that he lied to me.
Have a great day!
'Angry' is a specific emotion; 'upset' is more general, and could mean 'angry' or 'unhappy' or 'shocked' or a combination of similar emotions that may unsettle a person.
(1) and (2) are both reasonable and colloquial sentences. (4) is redundant (since 'upset' subsumes 'angry') but I feel that it is colloquiallly common. (3) however is a 'zoo sentence'-- grammatically OK, but never found in nature.