Question

In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, say so.

$m\angle 5+m\angle 6=m\angle 3+m\angle 4$

Short answer

There are no segments available that are parallel.

Step-by-step solution

Step 1. Determine which method can be used

If the provided angles represent the common line and common side that is related to the angles then the lines having parallel connection can be determined.

Step 2. Determine whether the provided angles are according to the method or not by observing the provided figure

Write the provided angles according to the segments.

$m\angle APL=m\angle ARL$

As the measurement of provided angles is the same which means that these angles are congruent. Also, according to the figure, there are no lines and side available that are common.

Step 3. Make the conclusion

As the provided angles are not having any side and line that are common so there are no segments available that are parallel.