n the figure, .
and are congruent .
and are congruent by the Vertical Angles Theorem.

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