Since lines m and n are parallel, angle E and angle B are corresponding angles. Therefore, they are equal.
We can set up the equation as follows:
\[ 3x + 18 = 14x - 8 \]
Now, let's solve for \( x \).
- Rearranging the equation:
\[ 3x + 18 + 8 = 14x \] \[ 3x + 26 = 14x \]
- Now, subtract \( 3x \) from both sides:
\[ 26 = 14x - 3x \] \[ 26 = 11x \]
- Finally, divide both sides by 11:
\[ x = \frac{26}{11} \]
Thus, the value of \( x \) is \( \frac{26}{11} \).
The correct response is Start Fraction 26 over 11 End Fraction.