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Question

Question 1
In figure, if AB||CD||EF, PQ||RS, RQD=25 and CQP=60, then QRS is equal to:


A) 85
B) 135
C) 145
D) 110

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Solution

Given, PQ || RS
PQC=BRS=60 [Alternate exterior angles and PQC=60 (given)]
DQR=QRA=25 [Alternate interior angles]...(i)
ARS+BRS=180 [linear pair axiom]
ARS=180BRS=18060=120...(ii)
QRS=QRA+ARS =25+120(From i and ii) =145

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