Much to his annoyance, the shop had just closed when he got there.
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She thought she would cheer up her big brother with a song, but he only found her to be an annoyance.
If you said "use coincidence in a sentence" you already know how to use it in a sentence and are probably getting examples. if you said" how do you use coincidence in a sentence" you most-likely don't know the definition of it.
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Sample Sentence: The magician put his audience into a trance.
I would have answered nonetheless.