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Question

Lines RS and PQ intersect each other at point O. If POR:ROQ = 11:13, SOQ =

A
82.5
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B
87.5
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C
92
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Solution

The correct option is A 82.5


POR+ROQ=180 (linear pair of angles)

but, POR:ROQ=11:13 (given)

POR=1124×180=(1652)

Similarly, ROQ=1324×180=(1952)

Now, POS=ROQ=(1952) (vertically opposite angle)

And, SOQ=POR=(1652)=82.5 (vertically opposite angle)


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