Question

If AB||CD , and x:y = 3:7 . Find x. ?




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Answer 1

Answer:

In the given figure,AB∥CD,CD\parallel EFandy:z=3:7

Let y=3a and z=7a

∠DHI=y(vertically opposite angles)

∠DHI+∠FIH=180

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(Interior angles on the same side of the transversal)

⇒y+z=180

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⇒3a+7a=180

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⇒10a=180

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or a=18

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∴y=3×18

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=54

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and z=7×18

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=126

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Also,x+y=180

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⇒x+54

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=180

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∴x=180

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−54

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=126

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Hence,x=126

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Step-by-step explanation:

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