Given:
To find: x and y
Conditions Used:
1.Corresponding angles are equal.
2.Sum of linear pair of straight line is 180 degree.
Explanation:
[tex](9x+25)\text{ \& (13x-19) are corresponding angles}[/tex][tex]\begin{gathered} 9x+25=13x-19 \\ 9x-13x=-19-25 \\ -4x=-44 \\ x=11 \end{gathered}[/tex][tex](13x-19)\text{ \& (17y+5) are the linear pair of straight line.}[/tex][tex]\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}[/tex]
Therefore, the final answers are:
[tex]x=11\text{ \& y=3}[/tex]
