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Alternate Interior Angles Theorem Proof

The alternate angles theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles are equal.


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Alternate Interior Angles Theorem Proof

STATEMENT
If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal.

Given:

AB||CD and EFGH is a transversal.

Image/Diagram:

To Prove:




PROOF:

(Vertically opposite angles)




From (i) and (ii),




Hence the proof.


  
   
  
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