Question

!answer?????????????????????????

Answer 1

The correct answer is option (d) x = 4.

Step-by-step Step-by-step explanation:

LMNO is a parallelogram.

• NM = x + 23
• OL = 5x + 7

As we know that, a parallelogram has opposite sides parallel and equal in length.

Now, according to the question :

`\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= (16)/(4)}}}\\\\\qquad{\dashrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\underline{\boxed{\tt{\red{x = 4}}}}}} \end{gathered}`

Hence, the value of x is 4.

`\rule{300}{2.5}`