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A B C D is a parallelogram. A D is a pro...

`A B C D` is a parallelogram. `A D` is a produced to `E` so that `D E=D C` and `E C` produced meets `A B` produced in `Fdot` Prove that `B F=B Cdot`

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`In /_\DCE, DE=DC`(Given)
`therefore/_DCE=/_DEC->"(1)"-"(equal sides have equal angles opposite to them)"`
`AB"//"CD`
`AF"//"CD-"(AB lies of AF)"`
` EF" is the transversal "`
`therefore /_DCE=/_BFC->"(2)"`
`"from (1) and (2)"`
`/_DEC=/_BFC`
...
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