Question

1. jada draws two parallel lines cut by a transversal, as shown below. what is the value of z? the value of z =

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, the sum of an interior angle and its adjacent exterior angle is \(180^{\circ}\). Here, \((8z + 18)^{\circ}+74^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(z\)

First, simplify the left - hand side of the equation: \(8z+18 + 74=8z + 92\). So, the equation becomes \(8z+92 = 180\).
Subtract 92 from both sides: \(8z=180 - 92\), \(8z=88\).
Divide both sides by 8: \(z=\frac{88}{8}\).

Answer:

\(z = 11\)