# Intense Angle Chasing!

Geometry Level 3

Point $$H$$ is the orthocenter of triangle $$ABC$$. Points $$D, E,$$ and $$F$$ lie on the circumcircle of triangle $$ABC$$ such that $$AD || BE || CF$$. Points $$S, T,$$ and $$U$$ are the respective reflections of $$D, E,$$ and $$F$$ across the lines $$BC, CA,$$ and $$AB$$. Given that two angles of quadrilateral $$SHUT$$ (may not be in this orientation) are $$39$$ degrees and $$91$$ degrees. Find the positive difference between the other two angles.

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