Question

in the figure below, j || g. find the values of z and x.

Explanation:

Step1: Use corresponding - angles property

Since \(j\parallel g\), \(3x - 14=66\).

Step2: Solve for \(x\)

Add 14 to both sides: \(3x=66 + 14=80\), then \(x=\frac{80}{3}\).

Step3: Find \(z\)

\(z\) and \(66^{\circ}\) are vertical - angles, so \(z = 66\).

Answer:

\(x=\frac{80}{3}\), \(z = 66\)