Question

Algebra applications: find the value of x and y​

Answer 1

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:

$5x-y+150=180$       ...........(1)

$5x-y=180-150$

$5x-y=30$      ............(2)

$5x+y+130=180$       ...........(3)

$5x+y=180-130$

$5x+y=50$        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

$5x-y+5x+y=30+50$

$10x=80$

$x=8$

Now we are putting the value of x in 4, we get the value of y.

$5x+y=50$

$5(8)+y=50$

$y=50-40$

$y=10$

Therefore, the value of x and y is 8 and 10 respectively.