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, \(y = 63^{\circ}\).

Step2: Use linear - pair property

The angle \((x - 69)^{\circ}\) and \(y^{\circ}\) form a linear pair. So, \((x - 69)+y=180\). Substitute \(y = 63\) into the equation: \(x-69 + 63=180\), which simplifies to \(x-6=180\), and then \(x = 186\).

Answer:

\(y = 63^{\circ},x = 186^{\circ}\)