Complement can be like an object and we will find that there is a preposition which is being used in /with him/. Therefore, It is impossible for us to say: "I went him last night" (/him/ without /with/).
We also can see that complement is also used in Nominal Pattern.
I am happy.
She is lonely.
We are students of SMA 1 Negeri Bukit Kemuning.
Rita is a pretty dancer.
He was at home.
All the italic words or expressions above are the complement. The function of the verb "be" there is the same as Intransitive verb.
Compare and find the answer!
I am tired.
I get tired.
/am/ and /get/ have the same functions. Those give us information about the subject. Therefore, /tired/ is the complement. We also call the pattern as Linking-Verb.