What is the arc measure of YZ in degrees

59°

Step-by-step explanation:

First we find the value of remembering that the angle that is formed in a straight line (in the diameter of the circle) is 180 °, so the sum :

must be equal to 180°:

and we add the two terms with w:

we move the +4 in the left as a -4 to the right side:

and next we divide by 16:

And now that we know the value of , we can find the measure of the arc YZ:

substituting

The measure of YZ is 59°