help please

Circle $\Gamma$ is the incircle of $\triangle ABC$ and is also the circumcircle of $\triangle XYZ$. The point X is on $\overline{BC}$, the point Y is on $\overline{AB}$, and the point Z is on $\overline{AC}$. If $\angle A=40^\circ$, $\angle B=60^\circ$, and $\angle C=80^\circ$, what is the measure of $\angle YZX$?

Note that it's YZX, not AYX