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Question

In the given figure, line PQ and line MN intersect at O. Determine the value of y when x=60°. Further, determine the value of x when y=40°.


  1. y=60° and x=70°
  2. y=50° and x=80°
  3. y=80° and x=50°
  4. y=70° and x=60°


Solution

The correct option is A y=60° and x=70°
From the given figure, POM and MOQ form a linear pair of angles.
2x+y=180

Case (1) : When x=60
2×60+y=180
y=180120=60

Case (2) : When y=40
2x+40=180
2x=18040=140
x=70
When x=60y=60 and when y=40, x=70.

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