- Answer:

To find the value of x, we need to analyze the given information and apply the properties of parallel lines and transversals.

Given: ab is parallel to CD.

1. Definition of Parallel Lines:
When two lines are parallel, they never intersect and have the same slope.

2. Transversal:
A transversal is a line that intersects two or more other lines.

3. Corresponding Angles:
When a transversal intersects two parallel lines, the corresponding angles formed on the same side of the transversal are congruent.

4. Alternate Interior Angles:
When a transversal intersects two parallel lines, the alternate interior angles formed on opposite sides of the transversal are congruent.

Based on the given information and the properties discussed above, we can conclude the following:

- The angles formed by ab and CD are corresponding angles.
- The angles formed by ab and CD are alternate interior angles.

Since corresponding angles and alternate interior angles are congruent, we can set up the following equation:

2x + 10 = 3x - 4

Now, let's solve the equation to find the value of x:

Step 1: Simplify the equation by combining like terms.

10 + 4 = 3x - 2x

14 = x

Therefore, the value of x is 14.