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In the figure if AB||CD||FE then find x ...

In the figure if `AB||CD||FE` then find x and AE.

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Line `AB||` line `CD||` line EF
`:.` by type property of three parallel lines and their transversals,
`(BD)/(DF)=(AC)/(CD)`
`:.8/4=12/x :. 8 xx x =4xx12`
`:.x=(4xx12)/8`
`:.x=6`
`AE=AC+CE……….(A-C-E)`
`:.AE=12+x`
`:.AE=12+x`
`:.AE=18`
`x=6` and `AE=18`.
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