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.