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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.



Correct Answer
A

Your Answer
B

Your Answer
C

Your Answer
D


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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