From the uploaded image, I can see the question asks you to find the value of $x$ in a geometric diagram. The problem seems to involve the triangle's proportionality or a related theorem.

The diagram shows two triangles sharing a vertex, and $9$, $20 + x$, and segments are marked. It appears to involve solving using properties of similar triangles or applying segment proportions.

Let me extract and analyze the details:

• If the triangles are similar (based on the equal angles marked), the sides will be proportional. For example, if one side ratio is $\frac{9}{20+x}$, the rest must correspond proportionally.

Would you like me to explain step-by-step how to solve this problem fully?