Question

Please give me detailed answer with reason for all points (wherever necessary)

Answer 1

AE // BD =>  <DBA = <BAE ( alternate interior angles)            (1)

we have:  _ AF is the bisector of <BAE =>    <x= <BAE/2       (2)

                _ BC is the bisector of <DBA =>    <y= <DBA/2      (3)

(1) (2) (3) =>   <x = <y  => AF//BC ( alternate interior angles)