Angle Bisector Theorem?

Geometry Level 4

In the triangle \(ABC\), the bisector of \(\angle A\) intersects the bisector of \(\angle B\) at the point \(I\). \(D\) is the foot of the perpendicular from \(I\) onto \(BC\). Let the bisector of \(\angle BIC\) intersect \(BC\) at \(H\) and the bisector of \(AID\) intersect \(AB\) at \(J\). Find \(\angle JIH\) in degrees.

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