Geometry help please! Match the reasons with the statements        
      
                
     
    
    
    
    1  answer:
            
              
Given ⇔  1. ∠PRS and ∠VUW are supplementary  Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180° Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180° Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU Algebra  ⇔ 5. ∠VUW =  ∠SRU Converse of Corresponding angle Postulate ⇔ Line TV || Line QS  <u>Step-by-step explanation: </u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
Given ⇔   1. ∠PRS and ∠VUW are supplementary  Angles forming a linear pair sum of 180°  ⇔  3. ∠PRS + ∠SRU = 180° Definition of Supplementary angle   ⇔  2. ∠PRS + ∠VUW = 180° Transitive property of equality  ⇔  4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU Algebra  ⇔  5. ∠VUW =  ∠SRU Converse of Corresponding angle Postulate ⇔  Line TV || Line QS  Above mentioned are  , are the statements matched with expressions on right hand side (RHS)  .  
The Corresponding Angles Postulate  states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent . The converse states:  If corresponding angles are congruent, then the lines cut by the transversal are parallel.  
                                
             
         	
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