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Lines and Angles

  • Corresponding angles

When a transversal intersects two lines l and m, the corresponding angles so formed at the intersection points are named as follows:

∠1 and ∠5, ∠2 and ∠6

 ∠3 and ∠7, ∠4 and ∠8


  • Corresponding angles axiom

If a transversal intersects two parallel lines, then each pair of corresponding angles is equal.

In the above figure, if lines l and m become parallel then we will have following pair of equal angles:

∠1 =∠5, ∠2 =∠6, ∠3 =∠7 and ∠4 = ∠8


  • Converse of corresponding angles axiom

If a t…

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