Answer: 24
Explanation
Opposite sides of a parallelogram are congruent.
Thus, assuming JKLM as a parallelogram, then:
[tex]5x-1=14+2x[/tex]
By solving we get:
[tex]5x-2x=14+1[/tex][tex]3x=15[/tex][tex]x=\frac{15}{3}[/tex][tex]x=5[/tex]
Finally, replacing this value in the expression of JK to know the value of JK:
[tex]JK=14+2(5)[/tex][tex]JK=14+10[/tex][tex]JK=24[/tex]
