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given: FE/DE = GE/CE
proven: DEC ~ FEG

Answer:
given: FE/DE = GE/CE
proven: DEC ~ FEG
Statement: Reason:
m<DEC=m<FEG vertical angles theorem
FE/DE=GE/CE corresponding sides in similar triangle are proportional
DEC~FEG SAS criterion of similarity
Step-by-step explanation: