Aug 17 - about the verb "enojar"

Today I learn a new verb "enojar" from the following sentence:

"La profesora se enoja con Lucas porque no sigue sus instrucciones."

I look up "enojar" in SD dictionary but it doesn't offer any example sentence.

1. I would like to know that whenever "enojar" is used in the sentence to express "A gets mad at B", should the reflexive pronoun like "me" or "se" also come along?

2. Besides the reflexive verbs introduced in the course 2.5 about the Morning Routine, do verbs related to emotion also need reflexive pronouns? Could you give me some example sentences?