Question

in the figure below, h || l and j || k. find the values of z and x.

Explanation:

Step1: Use corresponding - angles property

Since \(h\parallel l\) and \(j\parallel k\), the angle \(z^{\circ}\) and the \(85^{\circ}\) angle are corresponding angles. So \(z = 85\).

Step2: Use the property of corresponding - angles and solve for \(x\)

The angle \((3x + 7)^{\circ}\) and the \(85^{\circ}\) angle are corresponding angles. So we set up the equation \(3x+7 = 85\).
Subtract 7 from both sides: \(3x=85 - 7\), \(3x = 78\).
Divide both sides by 3: \(x=\frac{78}{3}=26\).

Answer:

\(z = 85\)
\(x = 26\)