Answer: The arc measure of YZ is 59°.
Step-by-step explanation:
Since we have given that
XZ is the diameter.
Degrees are [tex]5w+4\ and\ 11w[/tex]
So, it forms a straight angle.
[tex]5w+4+11w=180\\\\16w+4=180\\\\16w=180-4\\\\16w=176\\\\w=\dfrac{176}{16}\\\\w=11[/tex]
So, the arc measure of YZ would be :
[tex]5w+4=5\times 11+4=55+4=59^\circ[/tex]
Hence, the arc measure of YZ is 59°.
