Question

a transversal EF intersects two parallel lines AB and CD at P and Q respectively

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Answer 1

Answer:

Since ray PR bisects ∠BPQ and ray QS bisects ∠PQC, then

∠RPQ=∠RPB=

2

1

∠BPQ and ∠SQP=∠SQC=

2,1

∴ line AB ∥ line CD (Alternate angles triangle