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Question

In figure, if AB ∥ CD, CD ∥ EF and y : z = 3 : 7, Find x.


A

96

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B

126

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C

116

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D

112

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Solution

The correct option is B

126


Given CD || EF
CGH=FHG [Alternate interior angles]
CGH=z
Also,
CGI+CGH=180 [Linear pair] (i)
y+z=180
Given: y : z = 3 : 7
Let y = 3k and z = 7k
3k+7k=180
10k=180
k=18

z=7k=7(18)=126
Also, AB || CD
x=CGH [Corresponding angles]
x=126


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