Given data:
The given figure of the quadrilateral.
A quadrilateral inscribed in the circle is cyclic in nature , the expression for the supplementary angles is,
[tex]\begin{gathered} 85^{\circ}+y^{\circ}=180^{\circ} \\ y^{}=95 \\ 65^{\circ}+x^{\circ}=180^{\circ} \\ x=115 \end{gathered}[/tex]Thus, the value of x is 115, and the vaue of y is 95.