In the figure, AB| |CD. ∠AEB and ∠CED are congruent 1 . ∠AEC and ∠ 2 are congruent by the Vertical Angles Theorem.

1. A. By the linear pair theorem. B. By the vertical angles theorem. C. because they are corresponding angles for parallel lines cut by a transversal.

2. A. AEB B. BED C. ECD D. EBA

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calculista calculista · Answer 1 · 2019-01-24T21:46:45+01:00

Answer:

Part 1) Option B. By the vertical angles theorem

Part 2) Option B. [tex]m<BED[/tex]

Step-by-step explanation:

we know that

Vertical Angles are the congruent angles opposite each other when two lines cross.

so

In the figure

[tex]m<AEB=m<CED[/tex] ------> by the vertical angles theorem

and

[tex]m<AEC=m<BED[/tex] ------> by the vertical angles theorem

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vintechnology vintechnology · Answer 2 · 2022-06-07T18:01:47+02:00

Angle AEB and CED are congruent by vertically theorem.

∠AEC and ∠BED are congruent by vertical theorem

The congruent angles of the figures can be found as follows;

AB is parallel to CD.

AB and CD are cut by two transversal lines that intersect.

Therefore,

AEB and CED are vertically opposite angles. Vertically opposite angles are congruent. This means they are congruent by vertical theorem.

Also ∠AEC and ∠BED are congruent by vertical theorem

learn more on angles here: brainly.com/question/14299269

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