To solve for $x$ in the diagrams, let's analyze each triangle separately.

Left Diagram

The triangle involves a segment labeled $x$ and another segment labeled $26$. By observation, the triangles appear to involve proportionality or similarity (e.g., smaller and larger triangles sharing corresponding sides).

Steps:

1. Identify whether the triangles are similar (based on shared angles or proportional sides).
2. Use the property of similar triangles: $\frac{\text{Side 1 of smaller triangle}}{\text{Side 1 of larger triangle}} = \frac{\text{Side 2 of smaller triangle}}{\text{Side 2 of larger triangle}}$.

To confirm and compute accurately, additional values (e.g., side lengths or angles) may be required.

Right Diagram

The second triangle has a segment labeled $x$ and another labeled $8$. Similar properties of similar triangles likely apply here as well.

Steps:

1. Check for similar triangles.
2. Use proportionality between corresponding sides to calculate $x$.

Request Clarification

Could you confirm if additional numerical values or angles are provided elsewhere? These are essential for an exact calculation.

Would you like me to explain any geometry concepts (e.g., similarity, proportionality) in more detail?

Related Questions

1. What are the properties of similar triangles, and how can they help solve problems like this?
2. How do you verify whether two triangles are similar?
3. Can the Pythagorean theorem apply here, and under what conditions?
4. What is the role of angles in proving triangle similarity?
5. How are proportional sides calculated in similar figures?

Tip: Always check for shared angles or parallel lines, as they often indicate similarity or proportionality in triangles.