Answer:
x = 19
Step-by-step explanation:
[tex]m\widehat{ XPZ} = 271\degree... (given) \\\\
m\widehat {XZ} =360\degree - 271\degree\\\\
m\widehat {XZ} =89\degree\\\\
m\angle XYZ = \frac{1}{2} \times (m\widehat{ XPZ} -m\widehat {XZ} ) \\\\
(4x +15)\degree = \frac{1}{2} \times(271\degree - 89\degree) \\\\
(4x +15)\degree = \frac{1}{2} \times 182\degree\\\\
(4x +15)\degree = 91\degree\\\\
4x + 15= 91\\\\
4x = 91-15\\\\
4x = 76\\\\
x = \frac{76}{4}\\\\
\huge \orange {\boxed {x = 19}}
[/tex]
