Given figure:
- Let's consider the given figure to understand the problem and find the value of x.

Identifying the angles:
- In the figure, there are two parallel lines cut by a transversal.
- Angle 1 and angle 5 are corresponding angles.
- Angle 2 and angle 6 are corresponding angles.
- Angle 3 and angle 7 are corresponding angles.
- Angle 4 and angle 8 are corresponding angles.

Understanding corresponding angles:
- Corresponding angles are equal when the two lines being crossed are parallel.
- Therefore, in this case, angle 1 = angle 5, angle 2 = angle 6, angle 3 = angle 7, and angle 4 = angle 8.

Finding the value of x:
- Given that angle 1 = 3x - 10 and angle 5 = 2x + 20, we can set up an equation.
- Since angle 1 = angle 5, we have:
3x - 10 = 2x + 20
- Solving this equation:
3x - 2x = 20 + 10
x = 30

Conclusion:
- The value of x in the given figure is 30.
- By understanding corresponding angles and setting up an equation, we were able to find the value of x as 30.