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Question


If AB is parallel to CD, then MON=

A
40
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B
40
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C
60
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Solution

The correct option is C 60

From the image, AB is parallel to CD
NQD=ONB=120 (Corresponding angles)
Also, AMO+OMN=180 (Linear pair)
OMN=180120=60
Also, ONM+ONB=180 (Linear pair)

ONM=180120=60
Now, OMN forms a triangle.
OMN+ONM+MON=180
Angle sum property of a triangle)
60+60+MON=180
MON=180120=60

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