Chapter 5.2, Problem 9PSA

To determine

To Find: The lines which are parallel.

Answer to Problem 9PSA

  $\overleftrightarrow{BE}\parallel \overleftrightarrow{DF}\text{with }\overleftrightarrow{EF}\text{as transversal}\text{.}$

Explanation of Solution

Given:

  

  $\angle 1\cong \angle 2$

Concept Used:

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

Calculation:

Here, we have

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

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

Thus, $\overleftrightarrow{BE}\parallel \overleftrightarrow{DF}\text{with }\overleftrightarrow{EF}\text{as transversal}\text{.}$