Answer :
.Explanation:
We are given a cyclic quadrilateral.
The task involves obtaining the value of x and y
To get the values, we will use the theorem:
Opposite angles of a cyclic quadrilateral are supplementary
Therefore
[tex]105^0+(5y+10)^0=180^0[/tex]The value of y will be obtained as follow
[tex]\begin{gathered} 105^0+5y+10=180^0 \\ \text{colllecting like terms} \\ 5y=180-105-10 \\ 5y=65 \\ y=\frac{65}{5} \\ y=13^0 \end{gathered}[/tex]To get the value of x, we will have
[tex]\begin{gathered} 70^0+x+30=180 \\ x+100^0=180^0 \\ x=180-100 \\ x=80^0 \end{gathered}[/tex]Therefore
x= 80 degrees
y= 13 degrees