Given a parallelogram
Theorem: the diagonals of a parallelogram bisects each other
Thus
[tex]\begin{gathered} |MP|=|PK| \\ \text{therefore} \\ |MK|=|MP|+|PK| \end{gathered}[/tex][tex]\begin{gathered} \text{ |MP|=19} \\ \text{thus, |PK|=19} \\ |MK|=19+19=38 \end{gathered}[/tex]
Hence, the measure of line MK is 38
