Lines Angles and Triangles


   
 
Theorem 3
Statement
 
If a transversal intersects two parallel lines, then each pair of consecutive interior angles are supplementary.
 
 
Given:
 
AB||CD, EFGH is a transversal.
 
To prove:
 
 
 
Proof:
 
( Linear pair)
 
( corresponding angles axiom)
 
 
Similarly, we can prove that
 
 
  
     
   
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