In the diagram, two lines intersect, forming four angles at point O. If angle 1 measures $x$ degrees, angle 2 measures $(2x + 10)$ degrees, angle 3 measures $(3x - 20)$ degrees, and angle 4 is one of the angles opposite angle 2. All angles formed at the intersection must sum to $360$ degrees.

Find the value of $x$ when the measures of the angles are defined as above.