What is the measure of xyz shown in the diagram below

B. 39°

To solve this, we will use the outside angle theorem: the measure of an angle formed by two secants from a point outside the circle is half the difference of the measures of the intercepted arcs.

We can infer form our pictures that the intercepted arcs are and , so let's use our theorem:

We can conclude that the measure of angle XYZ is 39°

step-by-step explanation:

the first option is the answer.