Question

in the figure below, $k \parallel m$.
find the values of $z$ and $x$.
$z = \square$
$x = \square$

Explanation:

Step1: Find z using vertical angles

$z = 68$

Step2: Set up equation for supplementary angles

$z + (6x - 88) = 180$

Step3: Substitute z=68 into the equation

$68 + 6x - 88 = 180$

Step4: Simplify and solve for x

$6x - 20 = 180$
$6x = 200$
$x = \frac{200}{6} = \frac{100}{3} \approx 33.33$

Answer:

$z = 68$
$x = \frac{100}{3}$ (or approximately 33.33)