Chapter 5.2, Problem 4PSA

To determine

To Find: The lines which are parallel.

Answer to Problem 4PSA

  $\overline{PQ}\parallel \overline{SR}\text{with }\overline{QS}\text{as transversal}\text{.}$

Explanation of Solution

Given:

  

  $\angle 1\cong \angle 2$

Concept Used:

When parallel lines is intersected by a transversal alternate interior angles are equal.

Calculation:

Here, we have

  $\angle 1\cong \angle 2$ , which are alternate interior angles.

Since, when parallel lines is intersected by a transversal alternate interior angles are equal.

Thus, $\overline{PQ}\parallel \overline{SR}\text{with }\overline{QS}\text{as transversal}\text{.}$