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we can write a relation
[tex]\angle IJL+\angle LJK=\angle IJK[/tex]so, replacing
[tex]20+\angle LJK=57[/tex]and solving for LJK
[tex]\begin{gathered} \angle LJK=57-20\cdot \\ \angle LJK=37 \end{gathered}[/tex]the value of LJK is 37° so, the right option is C