Altitudes $\overline{XD}$ and $\overline{YE}$ of acute triangle $ riangle 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?

Question

Altitudes $\overline{XD}$ and $\overline{YE}$ of acute triangle $	riangle 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?

AoPS · Answer

Stop using Jiskha to cheat on Challenge problems! Instead, seek help on our class message board. This is your final warning. ~AoPS

Anonymous · Answer

^he was probably searching up the answers too

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?