# 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?

×