I really need help with this lesson

x=31
y=116

Explanation:
Using the opposite angle rule, which states that angles opposite each other are equal, we can first conclude that the angle that measures (6x-70) degrees is equal to angle y.

6x-70=y

Using the co-interior angle rule, which states that angles that form a “c” shape on the same side of the transversal add up to 180 degrees, we can conclude that 64+y is equal to 180 degrees.

64+y=180
Subtract both sides by 64 to isolate y
y=116

Therefore, the value of y is equal to 116.

Now, we can plug 116 into the first equation to find x.

6x-70=y
6x-70=116
Add 70 to both sides
6x-70+70=116+70
6x=186
Divide both sides by 6 to isolate x
x=31

Therefore, the value of x is equal to 31.

I hope this helps!