Base on tangent and secant rule for intersection,
The length of WZ is 12.
The angle of the arc XZ is 39 degrees.
What is tangent of a circle
The tangent to a circle is defined as a straight line that touches the circle at a single point.
Therefore,
WX × WY = WZ²
8 × (10 + 8) = WZ²
8 × 18 = WZ²
WZ² = 144
WZ = √144
WZ = 12
74° = 1 / 2(187 - arc XZ)
74 = 93.5 - arcXZ / 2
-19.5 = - arcXZ / 2
-39 = - arcXZ
-arcXZ = 39°
learn more on tangent here: https://brainly.com/question/12655272
