Solve the following problems: 11 − 2x = 4, and find the value of x given two parallel lines intersected by a transversal with angles 55 and x.

$$-2x = 4 - 11$$ $$-2x = -7$$

$$x = \frac{-7}{-2}$$ $$x = \frac{7}{2}$$ $$x = 3.5$$

The value of $x$ is $\boxed{\textbf{3.5}}$.

3) Find the value of $x$.
The diagram shows two parallel lines intersected by a transversal. The angle $55^\circ$ and the angle $x^\circ$ are consecutive interior angles (also known as same-side interior angles). When two parallel lines are intersected by a transversal, consecutive interior angles are supplementary, meaning their sum is $180^\circ$.

$$x = 180 - 55$$ $$x = 125$$

The value of $x$ is $\boxed{\textbf{125}}$.