Read the information about the given figure and choose the false statement. \[''\angle ABC={{30}^{\text{o}}},\,\angle EDF=(40-{{x}^{\text{o}}})\] and \[\angle ADE=13x+{{20}^{\text{o}}}''\].

• A.  \[\angle ABC=\angle EDF\]
• B.  \[\angle DBC\,+\angle EDF={{180}^{\text{o}}}\]
• C.  \[BC||DE\]
• D.  \[\angle BDE\] and \[\angle DBC\] are supplementary angles.