Question

in the figure below, k || l and m || n. find the values of z and x.
84°
(3x - 3)°
x: your answer is incorrect.
z: your answer is incorrect.
your answer is incorrect.
x =
z =

Explanation:

Step1: Use corresponding - angles property

Since \(k\parallel l\) and \(m\parallel n\), the angle of \(84^{\circ}\) and \(z\) are corresponding angles. So \(z = 84^{\circ}\).

Step2: Use linear - pair property

The angle \((3x - 3)^{\circ}\) and \(z\) form a linear - pair. So \((3x-3)+z = 180\). Substitute \(z = 84\) into the equation: \(3x-3+84 = 180\), \(3x+81 = 180\), \(3x=180 - 81=99\), \(x = 33\).

Answer:

\(x = 33\), \(z = 84\)