It appears that the image contains a right triangle with one angle labeled as $28^\circ$ and another as $4x - 6^\circ$. You are asked to solve for the value of $x$.

Given this is a right triangle, the sum of the internal angles must be $180^\circ$. We can set up an equation based on this information:

$90^\circ + 28^\circ + (4x - 6^\circ) = 180^\circ$

Let's solve this equation to find the value of $x$.The value of $x$ is 17.

Would you like to know more about how we derived this solution or any other math-related question?

Here are some follow-up questions to consider:

1. How would the value of $x$ change if the angle was not a right angle?
2. Can you determine the other angles in the triangle now?
3. What happens if the angle sizes are altered—how does it affect $x$?
4. How can you verify that this solution is correct using a protractor or geometric software?
5. What are the properties of right triangles that are critical for solving problems like this one?

Tip: Always double-check your angle sums in triangle problems, especially when angles are expressed in algebraic terms. This can help you catch any arithmetic or algebraic errors.