Respuesta :

<BED are congruent because the two lines they share create vertical angles and vertical angles are congruent. 

Answer:

1.Vertical Angles theorem

2.Angle BED

Step-by-step explanation:

We are given that a figure in which segment AB is parallel to segment CD

We have to  fill the correct answer in the blank space

[tex] AB \parallel CD[/tex]

Given

Angle AEB is congruent to  angle CED

By Vertical Angles theorem

Vertical angles theorem : When two lines intersect to each other then opposite angles are congruent .

Angle AEC is congruent to angle BED

By Vertical Angles theorem