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Question

In the figure below, lines RS and PQ intersect each other at point O. If POR: ROQ = 11:13, find SOQ.


A

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B

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C

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D

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Solution

The correct option is A


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) (vertically opposite angle)


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