# 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. Sally, if you don't stop this cheating, we will have to deactivate your AoPS account. Why don't you ask your peers for some help on our message boards?
~AoPS

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posted by AoPS
2. the answer should be approx 37 degrees.

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3. E

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posted by E

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