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Solution
LMNO is a parallelogram
A Parallelogram has two sides parallel and opposite
NM = x + 27 , OL = 4x + 9
for a paralleolgram equate the two sides NM = OL
[tex]\begin{gathered} OL=NM \\ 4x+9=x+27 \\ \text{collect like ters} \\ 4x-x=27-9 \\ 3x=18 \\ x=\frac{18}{3} \\ x=6 \end{gathered}[/tex]The value of x = 6
[tex]\begin{gathered} NM=x+27 \\ NM=6+27 \\ NM=33 \end{gathered}[/tex][tex]undefined[/tex]Therefore the