# 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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