Learn Portuguese (Portugal): Estás zangado comigo?

In Portuguese, there are two verbs for "to be": ser (permanent) and estar (temporary). Being angry is a temporary state or feeling, so we use estar (estás for "you").

Would the word zangado change if I were asking a woman?

Yes. Adjectives must match the gender of the person they describe. If you are asking a male, use zangado. If you are asking a female, it changes to zangada.

I see comigo translates to "with me". Can I say "com mim" instead?

No, you must always use comigo. In Portuguese, the preposition com (with) and the pronoun mim (me) merge into this single special word. The same thing happens with "with you" (contigo).

Why does the sentence use comigo ("with me") instead of a word for "at me"?

In English, you might say "angry at me" or "mad at me". However, in Portuguese, the adjective zangado always pairs with the preposition com (with). So you always say that you are angry "with" someone.