Question

in the figure below, h || l and j || k. find the values of y and z.
y =
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z =
\boxed{}

Explanation:

Step1: Find the value of \( y \)

Since \( h\parallel l \) and \( j\parallel k \), \( y \) and \( 68^{\circ} \) are supplementary angles (consecutive interior angles).

$$ y + 68^{\circ}=180^{\circ} $$

$$ y=180^{\circ}- 68^{\circ} $$

$$ y = 112^{\circ} $$

Step2: Find the value of \( z \)

Since \( y = 5x-112 \) (corresponding angles, \( h\parallel l \)), and \( y = 112^{\circ} \), then \( z=y \) (vertical angles)

$$ z = 112^{\circ} $$

Answer:

\( y = 112 \), \( z = 112 \)