Question

LMNO is a parallelogram. If NM = x + 27 and OL = 4x + 9, find the value of x and thenfind NM and OL.

Answer 1

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

$\begin{gathered} OL=NM \\ 4x+9=x+27 \\ \text{collect like ters} \\ 4x-x=27-9 \\ 3x=18 \\ x=\frac{18}{3} \\ x=6 \end{gathered}$

The value of x = 6

$\begin{gathered} NM=x+27 \\ NM=6+27 \\ NM=33 \end{gathered}$$undefined$

Therefore the