Question

Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees. In the diagram of circle A, what is the measure of ∠XYZ? 35° 70° 75° 140°

Answer 1

Its A if you don't wanna read

Explanation:

Edge

Answer 2

Circle A is missing, so i have attached it.

Answer:

∠XYZ = 35°

Explanation:

We want to find the angle ∠XYZ in the image attached.

To solve that, we will use the formula in the theorem for angle formed by secants or tangents. Thus;

∠XYZ = ½(arc WZ - arc XZ)

From the image, arc WZ = 175° and arc XZ = 105°

Thus;

∠XYZ = ½(175 - 105)

∠XYZ = ½(70)

∠XYZ = 35°