Answer: x = 19
Explanation:
You can approach this question by assuming the lines are parallel, and solving for the angles as such.
One of the rules of parallel lines is that any line intersecting both parallel lines have the same angle measures - essentially, angle 2 on the left side of line A has the angle measurement of 58 degrees if line A and B are parallel.
We can use this information to solve for x. If the lines are parallel, angle 1 is also equal to (4x - 10) degrees because the angle measures can be reflected across the lines.
Knowing that 360 degrees makes up a complete angle measurement, 180 degrees makes up half of an angle measurement. We can use this to solve for x:
Solving for x, we get 19. So, for lines A and B to be parallel, x must equal 19.