на́глый — meaning in English

naglyy

English meaning

audacious adj Bold and daring, often to the point of taking real risks.
brazen adj Shockingly bold or shameless, without any embarrassment.
cheeky adj Disrespectful or bold in a way that's often seen as playful or amusing rather than truly rude.
flippant adj Showing a casual disrespect or lack of seriousness about something that deserves more care.
fresh adjective Newly made, picked, or obtained; not old or stale.
impertinent adj Rude or disrespectful, especially in a way that oversteps one's place.
impudent adj Bold and disrespectful in a way that shows no shame or embarrassment.
insolent adjective Rude and disrespectful, especially in a bold or arrogant way, particularly toward authority.
pert adjective Cheeky or impudent in a lively, playful way, especially of a child or younger person.
presumptuous adj Overconfident or arrogant in a way that overstepss what is appropriate or one's actual authority.
sassy adj Bold, cheeky, or full of spirited attitude, especially toward someone in authority.
saucy adj Cheeky or disrespectful in a way that comes across as playful or amusing rather than genuinely rude.

на́глый is used for these senses in English:

audacious Impudent, insolent.
brazen Shameless or impudent; shocking or audacious; brash. [from 1570s]
brazen-faced Impudent; open and without shame.
cheeky (informal) Impudent; impertinent; impertinently bold, often in a way that is regarded as endearing or amusing.
flippant Showing disrespect through a casual attitude, levity, and a lack of due seriousness; pert.
fresh Rude, cheeky, or inappropriate; presumptuous; disrespectful; forward.
impertinent Insolent, ill-mannered or disrespectful; Disregardful.
impudent Not showing due respect; bold-faced, impertinent.

adj Shockingly bold or shameless, without any embarrassment.
adj Made of, or resembling, brass.
verb To face a difficult or embarrassing situation with bold confidence, usually as "brazen it out".