Answer:
[tex]m\angle K=138^o[/tex]
Step-by-step explanation:
we know that
The figure show a parallelogram
Remember that
In a parallelogram opposites angles are congruent and consecutive angles are supplementary
so
[tex]m\angle N+m\angle K=180^o[/tex]
we have
[tex]m\angle N=42^o[/tex]
substitute
[tex]42^o+m\angle K=180^o[/tex]
[tex]m\angle K=180^o-42^o=138^o[/tex]
