Question

If the bisectors of a pair of alternate angles formed by a transversal with two given lines are parallel, prove that the given lines are parallel.

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given: AB and CD are the bisector of ∠PAC and ∠RCA,AB∥CD

Since AB and CD are angles bisectors

So, ∠DCR=∠DCA=α and ∠PAB=∠CAB=β

Now, AB∥CD

∠BAC=∠DCA

β=α

Since, alternate angles are equal

Thus, PQ∥RS