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In figure if AB||CD,CD||EF and y: z=3: ...

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

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`y:x=3:7`
`y=3k,z=7k`
`x=angleCHG" "` (crosseponding angles ).....(1)
But `angleCHG=z " `" (alternate angles) ....(2)
`:.` From (1) and (2), we get
`x=z " ".....(3)`
`x+y=180^(@) " "` (sum of co-int angles)
`7k+3k=180^(@)" "` [ from (3)]
`10k =180^(@)`
`k=18^(@)`
`y=3xx18^(@)=54^(@)`
`z=7xx18^(@)=126^(@)`
x=z
`:. x=126^(@)`
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