Answer: First Option is correct.
Step-by-step explanation:
Since we have given that
Measure of arc WZ = 175°
Measure of ∠XAZ = 105°
We need to find the measure of ∠XYZ.
As we know the angle subtended at the center is the average of the measure of arc intercepted by it angle and its vertical angles.
[tex]\frac{175^\circ+\angle XYZ}{2}=105^\circ\\\\175^\circ+\angle XYZ=210^\circ\\\\\angle XYZ=210^\circ-175^\circ\\\\\angle XYZ=35^\circ[/tex]
Hence, the value of ∠XYZ is 35°.
Hence, First Option is correct.
