Question

in the figure below, o || n. find the values of x and z.

• x: one of the digits in your answer is wrong. check your work carefully.
• z: your answer is incorrect.

try one last time
your answer
z =
x =
recheck

Explanation:

Step1: Find the value of \(x\)

Since \(x\) and \(67^{\circ}\) are vertical angles, vertical angles are equal.
So \(x = 67\)

Step2: Find the value of \(z\)

Given \(x=(4z - 49)\), substitute \(x = 67\) into the equation.
We get \(67=4z-49\)
Add \(49\) to both sides: \(67 + 49=4z-49 + 49\), which simplifies to \(116 = 4z\)
Divide both sides by \(4\): \(z=\frac{116}{4}=29\)

Answer:

\(z = 29\), \(x = 67\)