Respuesta :

Reasons:
Reason 3: Congruent supplements theorem

Statements:
Statement 4: Angle 1 is congruent with angle 2

Answer: Option D:
Reason 3: Congruent supplements theorem.
Statement 4: Angle 1 is congruent with angle 2
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Answer:

(D) Reason3.  congruent supplements theorem

Statement 4. ∠1≅∠2    

Step-by-step explanation:

Given: ∠A is supplementary to ∠BCE.

To prove: ∠A≅∠1

Proof:

Statement                                                                Reason

1. ∠A is supplementary to ∠BCE.                           Given

2. ∠2 is supplementary to ∠BCE.                        From diagram

3. ∠A≅∠2                                              congruent supplements theorem

4. ∠1≅∠2                                                 Vertical angles theorem

5. ∠A≅∠1                                    Transitive property of congruence

Thus, option D is correct.

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