Question

solving algebraically for unknown values
find the values of x and y that make k || j and
m || n.
$x = square^{circ}$
$y = square^{circ}$

Explanation:

Step1: Use the property of consecutive interior angles

Since \(k\parallel j\), the consecutive interior angles \((x - 30)^{\circ}\) and \((x + 50)^{\circ}\) are supplementary.
So, \((x-30)+(x + 50)=180\)

$$
LATEXBLOCK0
$$

Step2: Use the property of corresponding angles

Since \(m\parallel n\) and \(k\parallel j\), \(y=(x - 30)^{\circ}\) (corresponding angles). Substitute \(x = 80\) into \(y=x - 30\), we get \(y=80-30=50\)

Answer:

\(x = 80\), \(y = 50\)