Idiom: "got fed up to the back teeth with"

[Carla Louse]

English Idioms and Expressions, Advanced Level

ESL/EFL Test #4 "How Mary fell in love", question 5

Her next door neighbour soon got fed up to the back teeth with the noise.

(a) grew hungry with
(b) grew angry with
(c) grew mad about
(d) grew very tired of

English Idioms and Expressions, Advanced Level

ESL/EFL Test #4 "How Mary fell in love", answer 5

Her next door neighbour soon grew very tired of the noise.

Correct answer: (d) grew very tired of

Your answer was: incorrect
Her next door neighbour soon grew angry with the noise.
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Could you explain this idiom, please?

English Learner Carla Louse

[Yankee]

Hi Carla

Here is a definition from an online dictionary:
"be fed up/sick to the back teeth (British & Australian, informal)
to be bored or angry because a bad situation has continued for too long or a subject has been discussed too much."

source
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"Nearly all men can stand adversity, but if you want to test a man's character, give him power." ~ Abraham Lincoln