Question

lines m and n are parallel. angle e measures (3x + 18) degrees and angle b measures (14x - 8) degrees. what is the value of x? (1 point)

Explanation:

Step1: Identify angle - relationship

Since lines \(m\) and \(n\) are parallel, angle \(E\) and angle \(B\) are corresponding angles, and corresponding angles are equal. So we set up the equation \(3x + 18=14x−8\).

Step2: Solve the equation for \(x\)

First, move the \(x\) - terms to one side: \(18 + 8=14x-3x\).
Combining like - terms gives \(26 = 11x\).
Then, divide both sides by 11 to solve for \(x\): \(x=\frac{26}{11}\).

Answer:

\(\frac{26}{11}\)