Question

the value of x that would prove y || z. 12. (14x - 25)° 129° j k (2x - 8)°

Explanation:

Step1: Identify supplementary angle

The angle supplementary to $129^\circ$ is $180^\circ - 129^\circ = 51^\circ$

Step2: Set up equation for parallel lines

For lines $j \parallel k$, $(14x - 25)^\circ = 51^\circ$

Step3: Solve for x

$$\begin{align*} 14x - 25 &= 51\\ 14x &= 51 + 25\\ 14x &= 76\\ x &= \frac{76}{14} = 11 \end{align*}$$

Answer:

$x = 11$