Question

given parallelogram (jklm) below, (jn = 37). if (nl=x + 8), solve for (x).

Explanation:

Step1: Recall parallelogram diagonal property

In a parallelogram, the diagonals bisect each other. So \( JN = NL \).

Step2: Set up equation and solve

Given \( JN = 37 \) and \( NL = x + 8 \), we have the equation \( x + 8 = 37 \).
Subtract 8 from both sides: \( x = 37 - 8 \).
\( x = 29 \).

Answer:

\( x = 29 \)