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Question

In the given figure, lines AB and CD intersect at O. Find the value of x+y.



  1. 72
  2. 85
  3. 95
  4. 88

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Solution

The correct option is A 72
Consider the straight line COD. Since the angles on a straight line equals 180, we have
COB+BOD=180
x+4x=180
5x=180
x=36
Now, note that AOD=COB [vertically opposite angles]
y=x=36
y+x=36+36=72


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