Answer:
The correct answer is option (d) x = 4.
Step-by-step explanation:
LMNO is a parallelogram.
As we know that, a parallelogram has opposite sides parallel and equal in length.
Now, according to the question :
[tex]\begin{gathered} \qquad{\dashrightarrow{\sf{NM = OL }}}\\\\\qquad{\dashrightarrow{\sf{x + 23= 5x + 7 }}}\\\\\qquad{\dashrightarrow{\sf{5x - x= 23 - 7 }}}\\\\\qquad{\dashrightarrow{\sf{4x= 16 }}}\\\\\qquad{\dashrightarrow{\sf{x= \frac{16}{4}}}}\\\\\qquad{\dashrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\underline{\boxed{\tt{\red{x = 4}}}}}} \end{gathered}[/tex]
Hence, the value of x is 4.
[tex]\rule{300}{2.5}[/tex]