どういうわけであんな嘘をついたのですか。

Meaning
why did you lie like that?

Vocab used in this sentence

どういう
what, how
わけ
mean, cause, that's why, reason, meaning, circumstances
in, at, on, with, by, over, through
あんな
like that, such, so, that kind of, anna
lie, false, inappropriate, falsehood, falsehoods
o, the, to, wo
つい
about, just, quite, accidentally, eventually, inevitably, inadvertently, unconsciously, unintentionally
the, was, ta, da, other
to, of
です
is, be, are, am, that, away
or, ka

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