Question

PLEASE HELP!! I don't really know how to solve this.

Answer 1

x=13

y=14

Explanation:

We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.

Knowing this, we can write two equations:
`4x-1=3y+9` and
`(4x-1)+(2x+6y+19)=180`. We can solve for y in the first equation. Subtracting 9 from both sides gives us
`4x-10=3y`. Dividing both sides by 3 gives us
`(4x-10)/(3) =y`.

We can plug that in to the second equation to get
`(4x-1)+(2x+6((4x-10)/(3) )+19)=180`. Expanding the second parenthesis, we get
`2x+8x-20+19` which equals
`(10x-1)`. We now have
`(4x-1)+(10x-1)=180`. Expanding gives us
`14x-2=180`. Adding 2 to both sides gives us
`14x = 182`. Dividing both sides by 14 gives us
`x=13`.

We can now plug 13 into the above equation to solve for y.
`y= (4*13-10)/(3)` Solving that gives you
`y=14`.