ok guys, so...when do you use "sleight angle"? I guess it's slightly informal, I can't find this phrase to be used in a "technical" context...am I right? can you please provide synonyms to that? thanks for your help!

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yes, it's a text I'm translating from English, but it might be misspelled...? I've found some results on google too, though...

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Are you sure "sleight" is the word? It seems very odd without more context.

New Oxford American Dictionary
sleight | slaɪt |
noun literary
the use of dexterity or cunning, especially so as to deceive: except by sleight of logic, the two positions cannot be harmonized.

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Are you sure 'sleight' is correct?

The book was leaning at a slight angle, means it is not vertical.

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I don't know about "slight", but an acute angle is less than 90 degrees. The word for greater than 90 is obtuse.