Question

question
find the value of x, y, and z in the parallelogram below.
answer attempt 1 out of 2
x =
y =
z =

Explanation:

Step1: Use consecutive angles property

Consecutive angles in a parallelogram are supplementary. So:
$68 + (6y + 10) = 180$
$6y + 78 = 180$
$6y = 102$
$y = 17$

Step2: Use opposite angles property

Opposite angles in a parallelogram are equal. So:
$68 = (x + 46)$
$x = 68 - 46 = 22$

Step3: Use opposite angles property

Opposite angles in a parallelogram are equal. So:
$68 = (5z - 8)$
$5z = 76$
$z = 15.2$

Answer:

$x = 22$
$y = 17$
$z = 15.2$