Start with the 'eh' vowel mouth position. Pull the tongue back and up while flaring the lips for the 'r'.
How to pronounce arrogant in American English
Americans pronounce arrogant as AIR-uh-guhnt (/ˈɛrəgənt/). Stress falls on the first syllable — keep everything else short and quick. You'll hear it in sentences like "That actor has a bad habit of acting arrogant".
Now you try.
Record yourself saying "arrogant" and play it back. The mic stays on your device — nothing's uploaded.
Every sound in "arrogant".
3 syllables, 6 sounds. Tap a syllable to jump to its row, then explore each sound's mouth shape and how it's made.
Raise the back of your tongue to touch the soft palate. Add vocal cord vibration, then release.

Relax your lips, jaw, and tongue completely. Drop your jaw slightly and keep the tongue neutral.
The schwa before N disappears — N becomes the vowel of the syllable. Go straight from the previous consonant to N.

Touch the tip or front edge of your tongue to the roof of your mouth just behind your teeth. Keep your jaw relaxed. Stop the air, then release with a puff.

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Common pronunciation mistakes in American English.
The textbook way isn't wrong — it's just not how anyone actually says it.
Releasing the final consonant with a puff of air.
In "arrogant", the "t" is not released — the articulators get into position but hold without the burst of air. Air stops but there's no release burst — the articulators hold position.
Inserting a vowel before the syllabic consonant.
In "arrogant", the short unstressed vowel before "n" disappears — the schwa is absorbed and the "n" becomes the syllable nucleus on its own. Schwa is absorbed — consonant becomes the syllable nucleus.
Stressing the wrong syllable.
Stress falls on the first syllable, not the others. Stretch AIR — keep everything else short and quick.
Pronouncing the unstressed syllable too fully.
Don't pronounce the first syllable too fully. The unstressed syllable reduces to a schwa — the lazy "uh" sound — in casual speech.

