Question

in the figure below, h || l and j || k. find the values of y and z. y° (3z - 2)° 67° y = z =

Explanation:

Step1: Use corresponding - angles property

Since \(h\parallel l\) and \(j\) is a transversal, the angle \(y^{\circ}\) and the \(67^{\circ}\) angle are corresponding angles. So \(y = 67\).

Step2: Use alternate - interior angles property

Since \(h\parallel l\) and \(k\) is a transversal, the angle \((3z - 2)^{\circ}\) and the \(67^{\circ}\) angle are alternate - interior angles. Then \(3z-2=67\).
Add 2 to both sides of the equation: \(3z=67 + 2=69\).
Divide both sides by 3: \(z=\frac{69}{3}=23\).

Answer:

\(y = 67\)
\(z = 23\)