Question

Use the given information to name the segments (if any) that must be parallel.

$\angle 3\cong \angle 6$

Short answer

The required segments are $\overline{\mathit{E}\mathit{B}}$and $\overline{\mathit{D}\mathit{C}}$.

Step-by-step solution

Step 1. Determine the theorem or postulate that can be used

The theorem 3-5 can be used which states that the relation between two lines is parallel only when a separate line travels through these two lines and the angles which are positioned on the alternate interior side represents the congruent angles.

Step 2. Observe the provided figure

According to the provided figure a separate line $\overline{BD}$is travelling through the lines $\overline{EB}$and $\overline{DC}$which are associated with the provided angles which are positioned on alternate interior side.

Step 3. Make the conclusion

According to the theorem 3-5 the lines $\overline{EB}$ and$\overline{DC}$ are having a parallel relation between them because the angles formed by these lines are the provided angles.