In the figure given below, name the following: a) A pair of parallel lines b) Two pairs of intersecting lines c) Any two angles A B. sm p4
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∵PQ=RSandPN∥QM
⇒∠RPN=∠SQM⟶(1)
andPR=QS⟶(2)
also,RN∥SM
⇒∠PRN=∠QSM⟶(3)
Then,△PRN≅△QSM(byASA)
⇒PN=QMandRN=SM(CPCT)
since,PN∥QMandPN=QM
⇒PQMNisaparallelogram
similarly,RN∥SMandRN=SM
⇒RSMNisaparallelogram
Thus,PQ=MNandPQ∥MN
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