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Step-by-step explanation:
AD=DE. ----given
BD=CD ----given
<ADB = <CDE ---vertically opposite angles..
thereforee triangle ABD is congruent to triangle ECD --- by SAS congruence rule..
therefore AB =EC --by CPCT
Aalso angle C = angle B -- by CPCT
but it is a pair of alternate interior angles.
therefore AB parallel EC
Hope it helps...
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