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Question

In fig, AB and CD are parallel to each others. The value of x is :
85187_39bc9946aeaa49b498ef1368fda6e8cc.png
  1. 90
  2. 100
  3. 120
  4. 140

A
140
B
120
C
90
D
100
Solution
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Draw a line parallel to AB and CD and passing through E as shown in the figure which divides x in 1 and 2
Now AB||EF and ang BE is transversal
1+120=180 (Sum of angles made on side side of transversal is supplementary)
1=1801201=60
Also DC||EF and DE is transversal
2+140=180 (Sum of angles made on side side of transversal is supplementary)
2=1801401=40
x=1+2x=60+40=100

832769_85187_ans_62d11ba3a30541479005f22426023b31.png

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