Feltéve, hogy van időd, megbízlak a felügyelettel.

It introduces a condition, similar to provided that, assuming that, or on the condition that in English.

So Feltéve, hogy van időd... sets up the condition under which the main action will happen.

A learner should think of Feltéve, hogy as a fairly fixed expression, not as two separately chosen words each time.

Because feltéve, hogy is the normal fixed pattern.

In this expression, hogy introduces the subordinate clause: van időd. English learners often want to analyze it word by word, but it is better to learn feltéve, hogy as one unit meaning something like provided that.

Időd means your time.

It is made from:

• idő = time
• -d = your (2nd person singular possessive suffix)

So:

• időm = my time
• időd = your time
• ideje = his/her/its time

In Hungarian, possession is usually shown with a suffix on the noun rather than with a separate word like your.

This is simply the normal Hungarian structure.

Hungarian often uses van + a possessed noun to express someone has something:

• van pénzem = I have money
• van autód = you have a car
• van időd = you have time

So literally it is more like there is your time, but idiomatically it means you have time.

Because Hungarian often uses the present tense where English might use a future-oriented meaning.

So ha/feltéve, hogy van időd can mean if you have time / if you will have time, depending on context.

This is very normal in Hungarian. The present tense is often enough if the future meaning is clear from the situation.

Megbízlak is a verb form meaning I entrust/appoint you.

It contains:

• meg- = a verbal prefix
• bíz = the verb stem
• -lak / -lek = a special ending used when the subject is I and the object is you

This ending is very important. Hungarian has a special verb form for I + you as the object:

• szeretlek = I love you
• várlak = I’m waiting for you
• megbízlak = I entrust/appoint you

So the -lak ending tells you directly that the speaker is doing something to you.

Because meg- changes the meaning.

The verb bíz by itself is often connected with trusting or relying on someone, especially in structures like:

• bízom benned = I trust you

But megbíz commonly means to entrust, to commission, or to appoint someone to do something.

So here meg- is not just decorative. It helps create the correct meaning for this sentence.

Because megbíz valakit valamivel is the normal pattern.

That means:

• valakit = someone (the person being entrusted)
• valamivel = with something (the task, duty, responsibility)

So in this sentence:

• megbízlak = I entrust/appoint you
• a felügyelettel = with the supervision

This is why Hungarian uses the -val / -vel type ending here.

This is because of assimilation with the suffix -val / -vel.

When this suffix is added after many consonants, the v changes to match the previous consonant, and that consonant is effectively doubled.

So:

• felügyelet + vel → felügyelettel

The same thing happens in other words:

• ház + val → házzal
• bot + val → bottal
• kéz + vel → kézzel

So felügyelettel is exactly what you should expect from Hungarian spelling rules.

The article a makes felügyelet sound like a specific duty or role, not just supervision in a very abstract sense.

So a felügyelettel suggests something like with the supervision, meaning a particular supervisory task that is understood in the context.

Hungarian often uses the definite article in places where English may or may not use one.

No, Hungarian word order is flexible, but the chosen order is natural and neutral.

Feltéve, hogy van időd, megbízlak a felügyelettel.

This order does two things:

1. It puts the condition first
2. Then it gives the main statement

That is very common. You could change the order in some contexts, but this version sounds natural because it presents the condition before the main action.

Yes, it sounds somewhat formal or businesslike.

Two things contribute to that:

• Feltéve, hogy is more formal than a simple ha
• megbízlak a felügyelettel sounds like an official assignment or responsibility

A more everyday version might be something like:

• Ha van időd, megbízlak a felügyelettel.
• Ha ráérsz, rád bízom a felügyeletet.

Those are a bit less formal or more conversational, depending on context.

Yes, absolutely.

That is another very natural way to express a similar idea.

The two patterns are slightly different:

• megbízlak a felügyelettel = I appoint/entrust you with the supervision
• rád bízom a felügyeletet = I entrust the supervision to you

So one version puts you more directly as the person being assigned, while the other puts more focus on the task being entrusted to you.

Both are good Hungarian, and learners will see both types often.