Answer:
x=7
y=-54
z=82
Step-by-step explanation:
Hello! Let me see if I can help you!
I can't see the picture very clearly, but since it is a parallelogram, there are two sides that are parallel. That means that the opposite angles are equal to each other.
102=(-2y-6)
Solve for y:
6+102=-2y
y is equal to -54
For x and z its different because there needs to be a second equation:
(10x+8)=(z-4) is not satisfactory because it has two variables in it. Thus, we need another equation.
(z-4)+102=180 (This we know because a straight line is 180 degrees, and the two angles added together are a straight line.)
Solve for z, 180-102=z-4, z is equal to 82.
Finally, using (10x+8)=(z-4) use the already solved value for z, and then solve for x. X is equal to 7 when you solve that way.
Again I can't see the entire thing, but this is how I would try. Hope it works!
