Question

Hey I need help answering this question. So can someone help me?

Answer 1

.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

`105^0+(5y+10)^0=180^0`

The value of y will be obtained as follow

`\begin{gathered} 105^0+5y+10=180^0 \\ \text{colllecting like terms} \\ 5y=180-105-10 \\ 5y=65 \\ y=(65)/(5) \\ y=13^0 \end{gathered}`

To get the value of x, we will have

`\begin{gathered} 70^0+x+30=180 \\ x+100^0=180^0 \\ x=180-100 \\ x=80^0 \end{gathered}`

Therefore

x= 80 degrees

y= 13 degrees