The value of the x for the parallel line A and line B is 7.
How to calculate the value of x?
The value of the x for the parallel line A and line B is calculated by applying the following principle for parallel lines as shown below;
angle 6x + 14 at A is alternate to B
Also this angle (6x + 14) is also a vertically opposite angle to angle B.
The equation for evaluating x becomes;
6x + 14 = 56 (vertically opposite angles are equal)
Simplify the equation by collecting similar terms as follows;
6x = 56 - 14
6x = 42
x = 42 / 6
x = 7
Thus, the value of x is 7.