Αν ο διευθυντής συμφωνήσει, θα πάρω άδεια τον Αύγουστο.

If the manager agrees, I will take leave in August.

Breakdown of Αν ο διευθυντής συμφωνήσει, θα πάρω άδεια τον Αύγουστο.

• θα: will
• παίρνω: to take
• αν: if
• συμφωνώ: to agree

Questions & Answers about Αν ο διευθυντής συμφωνήσει, θα πάρω άδεια τον Αύγουστο.

What tense or mood is συμφωνήσει, and why is that form used here?

Συμφωνήσει is the aorist subjunctive (3rd person singular) of the verb συμφωνώ (to agree).

In Greek, after αν (if) in this kind of real conditional sentence, you normally use the subjunctive, often in the aorist aspect, to talk about a one‑time future event:

• Αν ο διευθυντής συμφωνήσει, θα πάρω άδεια…
  If the director agrees (at that point), I will take leave…

So συμφωνήσει here expresses a single, complete action in the future, not a general habit.

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Why is it συμφωνήσει and not συμφωνεί after αν?

Both are grammatically possible but they mean different things:

• Αν ο διευθυντής συμφωνήσει…
  If the director agrees (on that particular occasion in the future)…
  → Focus on one specific future decision.

• Αν ο διευθυντής συμφωνεί…
  If the director agrees (in general / as a rule / is usually in agreement)…
  → Sounds more habitual or general.

In your sentence, we are talking about one future decision about your leave, so the aorist subjunctive (συμφωνήσει) is the natural choice.

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What is the function of αν here? Is it like English if?