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Answers
Answer:
To Prove:- AB parallel to EF
Solution:-
Here
We know AB parallel to CD and CD parallel to EF
Also MN Is transversal
for proving two lines are parallel, we need a transversal (already MN is there), and we should prove the alternate interior angles are equal.
Thus we've to prove
APQ=QRF
I am here taking only one alternate interior angle,as you can prove others using the same.
We know
APQ=PQD (alternate interior angles)
also
PQD=QRS (alternate interior angles)
If value of PQD is x,then value of APQ & QRS = x
that is
APQ=PQD=QRS
therefore they all have equal value
then APQ=QRS
Therefore AB parallel to EF (if the pair of alternate interior angles are equal then the two lines are parallel)
Hope it helps
Step-by-step explanation:
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