Question

If in Fig. 6.11, bisectors AP and BQ of the alternate interior angles are parallel, then show that l || m. ​

Answer 1

Answer:

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Step-by-step explanation:

Given, In the figure AP|| BQ, AP and BQ are the bisectors of alternate interior angles ∠CAB and ∠ABF.

To show l || m

Proof Since, AP|| BQ and t is transversal, therefore ∠PAB = ∠ABQ

[alternate interior angles]

⇒ 2 ∠PAB = 2 ∠ABQ [multiplying both sides by 2]