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Question

In the given figure, we have AB || CD || EF. If AB = 6 cm, CD = x cm, EF = 10 cm, BD = 4 cm and DE = y cm, Calculate the values of x and y.

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Solution

It is given that .

,and

We have to calculate the values of and .

In and , we have

(Vertically opposite angles)

(Alternate interior angles)

So
EFAB=DEDB

Similarly in we have
DCAB=DEBEx6=y4+yx=6y4+yx=6×6.674+6.67x=3.75

Hence, x=3.75cm and


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