In the diagram of circle a, what is the measure of ∠xyz?

35°
70°
75°
140°

  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.

Hence, the value of  ∠XYZ is 35°.

Hence, First Option is correct.