Answer:
[tex]x=99^{\circ},\\y=81^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a polygon with [tex]n[/tex] sides is [tex]180(n-2)[/tex]. Since the shape in the figure has 5 sides, the sum of its interior angles is [tex]180(5-2)=180\cdot 2=540^{\circ}[/tex].
Therefore, we can set up the following equation:
[tex]95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}[/tex]
Since [tex]\angle x[/tex] and [tex]\angle y[/tex] make up one side of a line, they are supplementary, as each side of a line is [tex]180^{\circ}[/tex].
Thus, we have:
[tex]x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}[/tex]
