Question

What is the measure of XYZ shown in the diagram below pleasee help

Answer 1

check the picture below.

Answer 2

B. 39°

Explanation

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
`XZ=114` and
`TS=36`, so let's use our theorem:

`XYZ=(114-36)/(2)`

`XYZ=(78)/(2)`

`XYZ=39`

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