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Questions & Answers about Sua moglie è incinta e sono molto felici.
Since this lesson is about keeping the article with family members, why is it just Sua moglie and not La sua moglie?
Moglie (wife) is a singular, unmodified family member, so it follows the standard rule: drop the definite article. The exceptions you are studying right now only apply if the family member noun is plural (like le sue sorelle), modified by an adjective (la sua nuova moglie), or a diminutive/pet name (la sua sorellina).
Could Sua moglie also mean "her wife"?
Yes, absolutely. In Italian, possessive adjectives like sua agree with the gender and number of the thing being possessed (the wife, which is feminine), not the person who possesses it. Without extra context, this sentence could equally mean "her wife is pregnant."
The first half of the sentence is about the wife. Why does the second half switch to the plural verb sono?
Italian frequently drops subject pronouns, relying on the verb conjugation and context. Sono (they are) shifts the focus from the wife to the couple as a whole. Because sua implies a partner, the listener naturally infers that the unstated "they" means the partner and the wife.
Why is it molto felici and not molti felici to match the plural subject?