Question

Select One

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) Responses 10 10 2611 Start Fraction 26 over 11 End Fraction 48 48 132

Answer 1

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 \( x \).

1. Rearranging the equation:

\[
3x + 18 + 8 = 14x
\]
\[
3x + 26 = 14x
\]

2. Now, subtract \( 3x \) from both sides:

\[
26 = 14x - 3x
\]
\[
26 = 11x
\]

3. 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**.