A transversal EF of line AB and line CD intersects the lines at point P and Q respectively. Ray PR and ray QS are parallel and bisectors of ∆BPQ and ∆PQC respectively.Prove that line AB || line CD.________________________________No spam ​

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But ∠BPQ and ∠PQC are alternate interior angles formed by a transversal EF of line AB and line CD.

∴ line AB ∥ line CD (Alternate angles test)

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