Question

find the value of z and y in the parallelogram below.

Explanation:

Step1: Use property of parallelogram - opposite sides are equal

For the side - length relationship:
Set up the equation for the vertical sides: $19=- 10y - 1$.
Solve for $y$:

$$
LATEXBLOCK0
$$

Step2: Use property of parallelogram - opposite sides are equal

Set up the equation for the horizontal sides: $9 = 9z-9$.
Solve for $z$:

$$
LATEXBLOCK1
$$

Answer:

$y=-2,z = 2$