Step-by-step explanation:
ZX is the diameter of the circle with center A.
[tex]\therefore m\angle YAZ + m\angle XAY = 180°\\
\therefore (5w+4)°+(11w)°= 180°\\
\therefore (16w+4)° = 180°\\
\therefore 16w+4 = 180\\
\therefore 16w = 180 - 4\\
\therefore 16w = 176\\
\therefore w = \frac{176}{16}\\
\therefore w =11\\
\therefore m\angle YAZ = (5w+4)°\\
\therefore m\angle YAZ = (5\times 11+4)°\\
\therefore m\angle YAZ = (55+4)°\\
\therefore m\angle YAZ = 59°\\
\because \overset{\frown}{YZ) = m\angle YAZ\\
\therefore \overset{\frown}{YZ) = 59°\\
[/tex]
