Answer:
Given: It is given that  and .
To Prove: ABCD is a parallelogram.
Statements                                                                            
1.  and            
Reason: Given                                      
2.  are alternate interior angles      
Reason: Def of alternate interior angles
3.                                                 
Reason: Alternate interior angles are congruent
4.                                                              
Reason: Reflexive property
5.                                                  
Reason: SAS congruency theorem
6.                                                        
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram                                  
Reason: Parallelogram Side Theorem
Step-by-step explanation:
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