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appleblossom09

For a better understanding of the answer provided here, please have a look at the attached diagram.

The diagram has been made as per the information provided in the question.

From the statements in the question we can see that:

[1] is the angle  

[2] is Supplementary

[3] is the segment bc

Thus, the above are the words or names that correctly fill in the blanks to complete the proof.

xKelvin

Answer:

See below.

Step-by-step explanation:

  Statements:                        Reasons:

1) ABCD is a parallelogram     : Given

2) ∠1≅∠2                                   : Alternate Interior Angles Are Congruent

3) ∠2+∠3=180                           : Angle Addition Postulate

4) ∠1+∠3=180                            : Substitution

5) ∠1 is supplementary to ∠3   : Definition of Supplementary Angles

And we're done!

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