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Question 2
In the given figure, If AB||CD,CD||EF and y:z=3:7, find x.

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Solution

It is given that AB||CD and CD||EF.
Then. AB||CD||EF.
AB||EF (Lines parallel to the same line are parallel to each other)
It can be observed that,
x=z (Alternate interior angles)……(1)
It is given that y:z=3:7
Let the common ratio between y and z be a.
3a+7a=180
10a=180
a=18010
a=18
x=z=7a=7×18=126

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