M angle IJK = 57 degrees and m angle IJL = 20°. Find m angle LJK.

From the diagram given, it can be seen that
[tex]m\angle IJK=m\angle IJL+m\angle LJK[/tex]The question gives us
mm
Therefore, we can find m
Hence
[tex]\begin{gathered} 57=20+m\angle LJK \\ m\angle LJK=57-20 \\ m\angle LJK=37^{\circ} \end{gathered}[/tex]Thus, m 37°.