Playing With Triangles

Geometry Level pending

In acute-angled triangle \(ABC\), Let \(D\) be the foot of the altitude from \(A\), and \(E\) be the midpoint of \(BC\). Let \( F\) be the midpoint of \(AC\). Suppose \(\angle BAE = 40\). If \(\angle DAE = \angle DFE\),what is the magnitude of \(\angle AEF\) in degrees?

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