In the figure, $\angle{XYZ}$ is inscribed in circle $I$, $\angle{XYZ}=36^\circ$, $\angle{AZY}=44^\circ$, and $AB$ is tangent to circle $I$ at $Z$. What is the measure of $\angle YIZ$, in degrees?
Draw IZ and YI
Angle AZY = 44°
So minor arc YZ = 2 * angle AZY = 2 (44) = 88°
And central angle YIZ intercepts this arc....so its measure = 88°
+1859 
