Question

N the figure, .

and are congruent .

and are congruent by the Vertical Angles Theorem.

Answer 1

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

Answer 2

1.Vertical Angles theorem

2.Angle BED

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

`AB \parallel CD`

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