Chapter 5.2, Problem 12PSA

To determine

To Prove: $\overline{PS}\parallel \overline{QR}$ .

Explanation of Solution

Given:

  

  $\angle 1\cong \angle 2$

Concept Used:

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

Proof:

Here, we have

  $\begin{array}{l}\angle 1\text{and }\angle 2\text{corresponding angles, such that }\\ \angle 1\cong \angle 2\\ \text{Since, we know that when parallel lines is intersected by a transversal corresponding angles are equal}\text{.}\\ \Rightarrow \overline{PS}\parallel \overline{QR}\end{array}$