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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

(1652)

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B

(1952)

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C

95

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D

65

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Solution

The correct option is A

(1652)


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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