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Question

In the given figure, if AB || CD || EF, PQ || RS, RQD=25 and CQP=60, then ARS is equal to

A
85
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B
135
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C
120
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D
110
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Solution

The correct option is C 120
We have PQ || RS. Produce PQ to M.
CQP=MQD [Vertically opp. S]
60=1+25
1=35

We have PQ || RS. Produce PQ to M.

CQP=MQD [Vertically opp. angles]
60=1+25
1=35

AMQ=1+RQD=60 [alternate angles]

RMQ+AMQ=180
RMQ=18060=120

Since PQ || RS,
RMQ=ARS=120 [alternate angles]

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