Chapter 3.3, Problem 11WE

To determine

To name: the segments that must be parallel with the given information.

Explanation of Solution

Given information:

The given figure is as follows

And $m\angle 5+m\angle 6=m\angle 9+m\angle 10$

When a transversal crosses the two parallel lines, the alternate interior angles are equal.

Here, $\overline{FC}$ is transversal and $\overline{AE}\text{ and }\overline{BD}$ are the parallel lines. The alternate interior

angles are $m\angle 5+m\angle 6\text{ and }m\angle 9+m\angle 10$ .

Hence, the parallel line segments are $\overline{AE}\text{ and }\overline{BD}$ .