∠ADF=∠BDA
So △AFD is similar to △BAD ∠ Abd = ∠ FAD.
In △ABD and △CAE, ∠ Abd = ∠ FAD.
∠BAD=∠ACE=60
AB=AC
So △ABD is equal to △CAE CE=AD.
Ad2 = AC ﹒ CD.
So AB/CE=AD/CD
∠AFD=∠C=60
So △ADF is similar to △CED's ∠ ADB = ∠ CDE.