If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

Question

TextCorresponding Angles Axiom for Parallel LinesNCERT Textbook

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Given that lines l₁, l₂ and l₃ in figure are parallel. The value of x is:

In Fig. 6.1, if AB || CD || EF, PQ || RS, ∠RQD = 25° and ∠CQP = 60°, then ∠QRS is equal to

In Fig. 6.12, BA || ED and BC || EF. Show that ∠ABC = ∠DEF

A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.