Question

1. in the figure below, l is parallel to k. find the values of z and y. z = y = 11) travel the town of baker is located between the towns of apple valley and cold spring on a lin - ear stretch of highway. if the distance from apple valley to cold spring is 39 miles and from apple valley to baker is 12 miles, what is the distance from baker to cold spring? miles

Explanation:

Step1: Find the value of \( z \)

Since \( l\parallel k \), \( z = 73^{\circ} \) (corresponding angles are equal).

Step2: Find the value of \( y \)

Since \( (4y - 63)^{\circ} \) and \( z^{\circ} \) are supplementary (linear pair), \( 4y-63 + z=180 \). Substitute \( z = 73 \) into the equation:
\( 4y-63+73 = 180 \)
\( 4y + 10=180 \)
\( 4y=180 - 10 \)
\( 4y=170 \)
\( y=\frac{170}{4}=42.5 \)

Answer:

\( z = 73 \), \( y = 42.5 \)