# Triangle from Perpindiculars

Geometry Level 3

Triangle $$ABC$$ has $$AB=AC$$. $$D$$ is the foot of the perpendicular from $$A$$ to $$BC$$. $$E$$ is the foot of the perpendicular from $$B$$ to $$AC$$. $$AD$$ and $$BE$$ intersect at $$H$$, the orthocenter of triangle $$ABC$$. Let $$J$$ be the midpoint of $$AH$$. What is the measure (in degrees) of $$JED$$?

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