Question

given \\( \overline{kl} \parallel \overline{mn} \\), and \\( \overline{lm} \parallel \overline{no} \\), find y.

Explanation:

Step1: Use the property of parallel lines (alternate - interior angles)

Since \( \overline{KL}\parallel\overline{MN}\), then \(3x = 96\) (alternate - interior angles). Solving for \(x\), we get \(x=\frac{96}{3}=32\).
Since \( \overline{LM}\parallel\overline{NO}\), then \(2y = 96\) (alternate - interior angles).

Step2: Solve for \(y\)

From \(2y = 96\), we can find \(y\) by dividing both sides of the equation by \(2\). So \(y=\frac{96}{2}\).

Answer:

\(y = 48\)