If a transversal intersects two parallel lines, prove that the bisecto

1.	If a transversal intersects two parallel lines, prove that the bisectors of thecorresponding angles are also parallel.OR
Answer» Given Two lines AB and CD are parallel and intersectedby transversal t at P and Q RESPECTIVELY. Also, EP and FQ are the bisectors ofangles ∠APG and ∠CQP, resoectively . As these, are the CORRESPONDING angleson the transversal line t. ∴ EP\|\|FQ Henceproved .

If a transversal intersects two parallel lines, prove that the bisectors of thecorresponding angles are also parallel.OR

Answer»

Given Two lines AB and CD are parallel and intersectedby transversal t at P and Q RESPECTIVELY. Also, EP and FQ are the bisectors ofangles ∠APG and ∠CQP, resoectively . As these, are the CORRESPONDING angleson the transversal line t. ∴ EP||FQ Henceproved .

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If a transversal intersects two parallel lines, prove that the bisectors of thecorresponding angles are also parallel.OR​

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If a transversal intersects two parallel lines, prove that the bisectors of thecorresponding angles are also parallel.OR