Question

find the value of x, y, and z in the parallelogram below. answer attempt 2 out of 2 x = -73 y = 15 z = -119

Explanation:

Step1: Solve for $x$ (opposite ∠s ≅)

$(-x-7) = 114$
$-x = 114 + 7$
$-x = 121$
$x = -121$

Step2: Solve for $y$ (consecutive ∠s supplementary)

$(5y-9) + 114 = 180$
$5y + 105 = 180$
$5y = 180 - 105$
$5y = 75$
$y = \frac{75}{5} = 15$

Step3: Solve for $z$ (opposite ∠s ≅)

$(-z-5) = (5y-9)$
Substitute $y=15$:
$-z-5 = 5(15)-9$
$-z-5 = 75-9$
$-z-5 = 66$
$-z = 66 + 5$
$-z = 71$
$z = -71$

Answer:

$x = -121$, $y = 15$, $z = -71$