Question

in the figure below, j || k. find the values of y and z.

Explanation:

Step1: Use corresponding - angles property

Since \(j\parallel k\), the corresponding angles are equal. So, \(y = 63^{\circ}\) (corresponding - angles of parallel lines are congruent).

Step2: Use linear - pair property

The angle \((z - 8)^{\circ}\) and the \(63^{\circ}\) angle form a linear pair. So, \((z - 8)+63 = 180\).
Simplify the equation: \(z-8+63 = 180\), which becomes \(z + 55=180\).
Subtract 55 from both sides: \(z=180 - 55\).
\(z = 125^{\circ}\)

Answer:

\(y = 63^{\circ}, z = 125^{\circ}\)