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 2611 Start Fraction 26 over 11 End Fraction 132 132 48 48 10
If lines m and n are parallel, then angle E and angle B are alternate interior angles. Alternate interior angles are congruent when lines are parallel.
Therefore, we have:
3x + 18 = 14x - 8
Simplifying the equation:
3x - 14x = -8 - 18
-11x = -26
Dividing both sides by -11:
x = -26 / -11
x = 26/11
The value of x is 26/11. So, the correct answer is 2611.