Respuesta :

<AEB and <CED are congruent by the vertical angles theorem.
<AEC and <BED are congruent by the vertical angles theorem.

Answer:

  • ∠AEB and ∠CED are congruent by vertical angle theorem.
  • ∠AEC and ∠BED are congruent by the Vertical Angle Theorem.

Step-by-step explanation:

In the given figure, AB||CD

We need to complete the drop down menu.

Vertical Angles Theorem: These angles are formed by two intersecting line at a intersection point. Vertical angles are congruent to each other.

  • ∠AEB and ∠CED are congruent by vertical angle theorem.

∠AEB and ∠CED are vertical angles because AED and CEB are two straight line intersect at point E.

  • ∠AEC and ∠BED are congruent by the Vertical Angle Theorem.

∠AEC and ∠BED are vertical angles because AED and CEB are two straight line intersect at point E.