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Step-by-step explanation:
angle B = angle E ( given )
》 AB = AE ( sides opposite to equal angles are equal )
( let it be equation 1 )
BD = CE ( given )
Now , add DC to both
BD + DC = CE + DC
Or BC = ED ( let it be equation 2 )
Now , in triangle ABC and triangle AED
AB = AE ( from equation 1 )
BC = ED ( from equation 2 )
angle B = angle E ( given )
》 triangle ABC is congruent to triangle AED ( By SAS )
HENCE , PROVED
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