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In Figure, it is given that A B=E F ,B C...

In Figure, it is given that `A B=E F ,B C=D E ,A B_|_B D` and `F E_|_C Edot` Prove that `A B D~=F E Cdot`

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AB||CE `/_1=/_4`
AB||CE and BC is transverse
`/_2=/_5`(corresponding angles)
`/_1+/_2=/_4+/_5`
`/_A+/_B=/_ACD`
`/_A+/_B+/_C=/_ACD+/_C`
`/_A+/_B+/_C=180^@`.
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