Geometry

Altitudes $\overline{XD}$ and $\overline{YE}$ of acute triangle $\triangle XYZ$ intersect at point $H$. If the altitudes intersect at a $123^\circ$ angle, and $\angle YXH = 26^\circ$, then what is $\angle HZX$ in degrees?

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  1. Hello Bill,
    Don't cheat on our challenge problems. If you continue this, we will have to deactivate your account.
    ~AoPS

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