A polgármester jogosult.

In Hungarian, the present-tense form of to be is usually left out in the third person singular and plural when the predicate is a noun or adjective.

So:

• A polgármester jogosult. = The mayor is authorized / entitled.
• not A polgármester van jogosult.

You do use van in other persons:

• Én jogosult vagyok. = I am authorized.
• Te jogosult vagy. = You are authorized.

And in the past or future, the verb appears again:

• A polgármester jogosult volt. = The mayor was authorized.

A is the definite article, meaning the.

So:

• a polgármester = the mayor

Hungarian has two forms of the definite article:

• a before most consonants
• az before vowels

For example:

• a polgármester
• az igazgató

Hungarian often uses the definite article when talking about a specific person or thing already known from context.

So A polgármester jogosult means the mayor in a specific situation, not just mayor as a general concept.

Without the article, polgármester would usually sound less natural here unless it appeared in a different structure or style.

No. Hungarian does not have grammatical gender like many Indo-European languages do.

That means:

• polgármester can refer to a male mayor or a female mayor
• adjectives and articles do not change for gender

So the same sentence works for either:

• A polgármester jogosult.

If you want to make biological sex explicit, you would need extra words from context, but the noun itself is not grammatically masculine or feminine.

Jogosult is most commonly used as an adjective meaning something like:

• entitled
• authorized
• eligible

In this sentence, it is the predicate adjective:

• A polgármester jogosult.
  literally: The mayor authorized/entitled

In natural English, we supply is, but Hungarian does not in this structure.

It often can take a complement, but it does not have to if the context already makes it clear.

Very common patterns are:

• jogosult valamire = entitled/eligible for something
• jogosult arra, hogy... = authorized/entitled to ...

Examples:

• A polgármester jogosult a döntésre. = The mayor is entitled/authorized to make the decision.
• A polgármester jogosult arra, hogy aláírja. = The mayor is authorized to sign it.

But by itself, A polgármester jogosult is perfectly possible if the missing information is understood from context.

It is in the nominative, which is the basic dictionary form.

In this sentence:

• a polgármester = the subject
• jogosult = the predicate adjective

There is no special ending here because the nominative in Hungarian usually has no ending.

Yes, Hungarian word order is fairly flexible, but changing it often changes the focus or emphasis.

The neutral version is:

• A polgármester jogosult.

If you say:

• Jogosult a polgármester.

that can sound more marked, as if you are emphasizing jogosult or contrasting it with something else.

So for a learner, the safest basic version is:

• A polgármester jogosult.

A rough pronunciation guide is:

• pol-gaar-me-shter

More carefully:

• stress is always on the first syllable in Hungarian: POLgármester
• á is a long vowel, roughly like a in father, but longer
• s in Hungarian sounds like English sh
• sz would be English s, but there is no sz in this word

So mester sounds roughly like mesh-ter, not mess-ter.

Roughly:

• YO-go-shoolt

Helpful points:

• stress the first syllable: JOgosult
• j in Hungarian sounds like English y
• o is a pure o sound
• s again sounds like English sh
• u is like oo in book/food, depending on accent, but kept pure and short

So it is definitely yo-go-shult, not with an English j sound.

Hungarian often forms compound nouns by writing them as one word.

Here:

• polgár = citizen
• mester = master

Together, polgármester means mayor.

This is very normal in Hungarian vocabulary, so learners should get used to long compound words.

Normally, no.

In Hungarian, job titles and common nouns are usually written in lowercase, so:

• a polgármester

It would only be capitalized in special situations, such as:

• at the beginning of a sentence
• in some official names or documents, depending on style

So in your sentence, lowercase polgármester is correct.

Yes. Depending on context, jogosult can mean:

• entitled
• eligible
• authorized
• having the right to

For example:

• jogosult a támogatásra = eligible for the support
• jogosult dönteni = authorized to decide
• jogosult panaszt tenni = entitled to file a complaint

So in A polgármester jogosult, the exact English wording depends on what the mayor is entitled or authorized to do.