Question

In the diagram of circle A, what is the measure of ∠XYZ? 35° 70° 75° 140°

Answer 1

Answer: the first option

Step-by-step explanation:

Answer 2

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.

$\frac{175^\circ+\angle XYZ}{2}=105^\circ\\\\175^\circ+\angle XYZ=210^\circ\\\\\angle XYZ=210^\circ-175^\circ\\\\\angle XYZ=35^\circ$

Hence, the value of  ∠XYZ is 35°.

Hence, First Option is correct.