We know that angle 1 is congruent to angle 3 and that line a is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem.

Which information is missing in the paragraph proof?

∠2 ≅ ∠4
∠1 ≅ ∠2
∠2 ≅ ∠3
∠1 ≅ ∠4

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sqdancefan sqdancefan · Answer 1 · 2019-09-04T23:40:31+02:00

Answer:

∠1 ≅ ∠2

Step-by-step explanation:

The transitive property says that if ∠1 ≅ ∠3 and ∠1 ≅ ∠2, then ∠2 ≅ ∠3. The missing part of this statement in the paragraph is ∠1 ≅ ∠2.

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lublana lublana · Answer 2 · 2019-10-03T09:01:02+02:00

Answer:

[tex]\angle 1\cong \angle 2[/tex]

Step-by-step explanation:

We have to find the missing statement in the given proof.

Angle 1 is congruent to angle 3

Given

Line a is parallel to line b

Given

[tex]\angle 1\cong \angle 2[/tex]

By using alternate exterior angles theorem.

[tex]\angle 2\cong \angle 3[/tex]

Therefore, [tex]\angle 2\cong \angle 3[/tex]

By the transitive property of congruence.

So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem.

Answer:[tex]\angle 1\cong \angle 2[/tex]