Answer:
x = 76°
y = 128°
z = 16°
Step-by-step explanation:
JKLM is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
x + 104° = 180°
x = 180° - 104°
[tex] \huge \red {\boxed {x = 76\degree}} [/tex]
y + 52° = 180°
y = 180° - 52°
[tex] \huge \purple {\boxed {y = 128\degree}} [/tex]
By inscribed angle theorem:
[tex] 88\degree + z = 2\times 52\degree \\\\
88\degree + z = 104\degree \\\\
z = 104\degree - 88\degree \\\\
\huge \orange {\boxed {z = 16\degree}} [/tex]
