Answer:
59 degrees
Step-by-step explanation:
In the figure below, XZ is a diameter of circle A.
Since the Angles (5w+4) and (11w) forms a straight line, then:
[tex](5w+4)^\circ+(11w)^\circ=180^\circ\\5w+11w+4=180\\16w=180-4\\16w=176\\w=\frac{176}{16}\\ w=11[/tex]
Therefore, the arc measure of YZ will be:
[tex]5w+4=5*11+4=59^\circ[/tex]