Question

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

Answer 1

Answer:

x=13

y=14

Step-by-step 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 $\frac{4x-10}{3} =y$.

We can plug that in to the second equation to get $(4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180$. 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. $y= \frac{4*13-10}{3}$ Solving that gives you $y=14$.