Question

Solve for x and y on a set of lines

Answer 1

Given:

To find: x and y

Conditions Used:

1.Corresponding angles are equal.

2.Sum of linear pair of straight line is 180 degree.

Step-by-step explanation:

`(9x+25)\text{ \& (13x-19) are corresponding angles}`
`\begin{gathered} 9x+25=13x-19 \\ 9x-13x=-19-25 \\ -4x=-44 \\ x=11 \end{gathered}`
`(13x-19)\text{ \& (17y+5) are the linear pair of straight line.}`
`\begin{gathered} 13x-19+17y+5=180\degree \\ 13(11)-19+17y+5=180 \\ 143-19+17y+5=180 \\ 129+17y=180 \\ 17y=51 \\ y=3 \end{gathered}`

Therefore, the final answers are:

`x=11\text{ \& y=3}`