Answer:
128°
Step-by-step explanation:
In kite WXYZ, WY and XZ are longer and smaller diagonals respectively.
Longer diagonal bisects the opposite angles.
[tex] \therefore m\angle ZYW =m\angle XYW[/tex]
[tex] \because m\angle XYW = 11\degree... (given) [/tex]
[tex] \therefore m\angle ZYW =11\degree [/tex]
[tex] In\: \triangle WYZ[/tex]
[tex] m\angle ZYW + m\angle ZWY + m\angle WZY=180\degree [/tex]
[tex] 11\degree + 41\degree+ m\angle WZY=180\degree [/tex]
[tex] 52\degree+ m\angle WZY=180\degree [/tex]
[tex] m\angle WZY=180\degree - 52\degree [/tex]
[tex] \purple{\bold {m\angle WZY=128\degree}} [/tex]
