The image you provided contains two geometric problems involving triangles. In the first triangle (problem 6), there are side lengths labeled with some variables. The second triangle (problem 7) also has side lengths with variables, and it looks like you are tasked with finding the value of $x$ for each one.

Let’s go over each triangle:

Problem 6: We have a triangle with side lengths 5, 9, and 3. It seems that there are equal angles (marked by the red arrows), which suggests that this triangle might be using properties of similar triangles. Using the properties of similar triangles, you can set up a proportion to solve for $x$. The sides opposite equal angles in similar triangles are proportional.

Problem 7: In this triangle, side lengths 8, 8, 7, and 6 are labeled with $x$ as the variable. This could be another case of similar triangles or possibly applying the triangle proportionality theorem.

To proceed with solving the values of $x$ for each triangle, we need to make use of triangle properties (such as the proportionality rule for similar triangles) and solve for the unknowns.

Would you like me to explain the step-by-step process for these problems? Or would you prefer specific answers for $x$ in each case?