Question

in the figure below, k || l and m || n. find the values of z and x.
your answer is incorrect.

• z: your answer is incorrect.
• x: your answer is incorrect.

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 vertical - angles property

The angle \((3x - 3)^{\circ}\) and \(z = 84^{\circ}\) are vertical angles. So \(3x-3=84\).
Solve the equation \(3x-3 = 84\):
Add 3 to both sides: \(3x=84 + 3=87\).
Divide both sides by 3: \(x=\frac{87}{3}=29\).

Answer:

\(x = 29\), \(z = 84\)