Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
[tex]5x-y+150=180[/tex] ...........(1)
[tex]5x-y=180-150[/tex]
[tex]5x-y=30[/tex] ............(2)
[tex]5x+y+130=180[/tex] ...........(3)
[tex]5x+y=180-130[/tex]
[tex]5x+y=50[/tex] ...........(4)
Now we adding equation 2 and 4, we get the value of x.
[tex]5x-y+5x+y=30+50[/tex]
[tex]10x=80[/tex]
[tex]x=8[/tex]
Now we are putting the value of x in 4, we get the value of y.
[tex]5x+y=50[/tex]
[tex]5(8)+y=50[/tex]
[tex]y=50-40[/tex]
[tex]y=10[/tex]
Therefore, the value of x and y is 8 and 10 respectively.
