The image appears to depict a rhombus with labeled angles and side lengths. To solve for the unknown angle $x$, we can apply geometric principles.

Here are the steps to solve for $x$:

Step 1: Identify the Known Angles

• The two angles given are $31.2^\circ$ and $50.1^\circ$, which are angles on adjacent sides.
• The total angle sum in any quadrilateral is $360^\circ$.

Step 2: Use the Angle Sum Property

Since opposite angles in a rhombus are equal, we know:

• The opposite angle to $31.2^\circ$ will also be $31.2^\circ$.
• The opposite angle to $50.1^\circ$ will also be $50.1^\circ$.

Thus, the sum of the angles within the rhombus must be: $31.2^\circ + 50.1^\circ + 31.2^\circ + 50.1^\circ = 360^\circ$

Step 3: Solve for $x$

From the structure of the diagram, we can conclude that $x$ represents the unknown angle in relation to the other angles.

If you need any further clarification or a specific calculation involving side lengths or trigonometry (e.g., using the law of sines), feel free to ask!