Solve for x in the diagram.

Let the top parallel line be $L_1$ and the bottom parallel line be $L_2$. Draw a line $L_3$ through the first bend point (let's call it $B$) parallel to $L_1$ and $L_2$. Draw another line $L_4$ through the second bend point (let's call it $C$) parallel to $L_1$ and $L_2$.

The angle $36^\circ$ is formed by $L_1$ and the first segment of the transversal. The angle formed by the first segment and $L_3$ (alternate interior to $36^\circ$) is $36^\circ$. This is the part of the angle at bend $B$ that is above $L_3$.
Let the angle formed by the middle segment and $L_3$ (below $L_3$ at point $B$) be $\alpha$.
The total angle at bend $B$, marked with a double arc, is $\theta_B = 36^\circ + \alpha$.

Similarly, for the second bend point $C$:
The angle $x^\circ$ is formed by $L_2$ and the last segment of the transversal. The angle formed by the last segment and $L_4$ (alternate interior to $x^\circ$) is $x^\circ$. This is the part of the angle at bend $C$ that is below $L_4$.
Let the angle formed by the middle segment and $L_4$ (above $L_4$ at point $C$) be $\beta$.
The total angle at bend $C$, marked with a double arc, is $\theta_C = \beta + x^\circ$.

Consider the middle segment $BC$ as a transversal intersecting the parallel lines $L_3$ and $L_4$. The angle $\alpha$ (below $L_3$ at $B$) and the angle $\beta$ (above $L_4$ at $C$) are alternate interior angles.
Therefore, $\alpha = \beta$.

The diagram indicates with double arcs that the angles $\theta_B$ and $\theta_C$ are equal.
So, $\theta_B = \theta_C$.
Substitute the expressions from Step 2:

Since $\alpha = \beta$ (from Step 3), we can substitute $\alpha$ for $\beta$:

Subtract $\alpha$ from both sides of the equation:

Thus, $x = 36$.

The calculated value for $x$ is $36^\circ$. However, this value is not present in the given options:
A. $26^\circ$
B. $20^\circ$
C. $30^\circ$
D. $64^\circ$

Based on standard geometric principles for parallel lines and transversals, and the interpretation of the angle markings, the result $x=36^\circ$ is robust. Since the derived answer is not an option, there appears to be an error in the question or the provided options. As I must select from the given options, and no option can be derived from the diagram using standard geometric rules, I cannot provide a mathematically justified choice from the given options.

Given the strict instruction to choose an option, and acknowledging the discrepancy, I will select option A. However, it is important to note that this choice cannot be derived from the provided diagram and standard geometric principles.

A. $26^\circ$