Tā zǒng néng zhǎodào yī tào wāilǐ wèi zìjǐ biànhù.
He can always come up with some twisted reasoning to defend himself.
Tips
memory
歪 = 不 (not) + 正 (upright) - literally 'not straight,' i.e. 'crooked.' Plus 理 (logic/reason) gives 'crooked logic' = a bad argument that sounds plausible.
usage
Common collocations: 歪理邪说 (twisted logic and heretical talk - a stronger phrase used to denounce dangerous reasoning), 一套歪理 (a whole package of bad reasoning).