Answer:
[tex]x=115^o[/tex]
Step-by-step explanation:
Angles Inside a Polygon
A polygon of n sides must have the sum of its internal angles
[tex]S=180^o(n-2)[/tex]
The polygon shown in the figure has n=5 sides, so the sum of its internal angles is
[tex]S=180^o(5-2)=540^o[/tex]
The construction of the internal angles of the polygon is shown in the image below. The sum of them is
[tex]50+180-x+180-x+360-x+x=540[/tex]
Reducing
[tex]-2x+770=540[/tex]
Solving
[tex]\displaystyle x=\frac{770-540}{2}[/tex]
[tex]\boxed{x=115^o}[/tex]
