Q. 34.3( 28 Votes )

In the adjacent f

Answer :

Given :- ABCD is a parallelogram


And CE=EB


Formula used:- ASA congruency property


If 2 angles and one side between them in two


triangles are equal then both triangle are congruent


Solutions :-


In Δ DCE and Δ FBE


DEC= BEF [Vertically opposite angles]


As DC || BF


ECD= EBF [Alternate angles]


And;


CE=EB [Given]


Δ DCE Δ FBE


As Δ DCE Δ FBE


Then


DC=BF


And DC=AB [opposite sides of parallelogram are equal]


Hence ;


AB=BF


AF=AB+BF


AF=2AB.


Hence Proved;


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