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Question

In the given figure, if MN PQ, then find the value of x.

A
75o
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B
65o
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C
35o
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D
140o
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Solution

The correct option is A 75o
Given that, MN PQ
NRO=1400,PSO=350
Now,draw the line VW parallel to PQ and passong through point 'O'.


ROW+SOW=ROS
ORN+ROS=180o [co-interior angles]
ROS=180140 =40o
and PSO=WOS [Alternate interior angles]
WOS=35o
ROW+SOW=ROSx=40o+35o =75o

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