Question

1. line n intersects lines p, q, r and s, forming the indicated angles. which two lines are parallel?

Explanation:

Step1: Find the supplementary angle of 130°

The supplementary angle of \(130^{\circ}\) is \(180^{\circ}- 130^{\circ}=50^{\circ}\).

Step2: Apply the parallel - line theorem

When a transversal intersects two lines, if the corresponding angles are equal, the two lines are parallel.
The angle formed by line \(n\) and line \(p\)'s supplementary angle (\(50^{\circ}\)) and the angle formed by line \(n\) and line \(r\) (\(50^{\circ}\)) are equal.

Answer:

Lines \(p\) and \(r\) are parallel.