The image contains a mathematical question in Arabic involving the argument of a complex number $z$ and its conjugate $\bar{z}$. Here's the content translated and analyzed:

Question:
If $\text{Arg}(z) = \pi$, what does $\text{Arg}(\bar{z})$ equal?

Solution:

1. Argument of a complex number $z$:
   The argument $\text{Arg}(z)$ of a complex number $z = x + iy$ is the angle $\theta$ between the positive real axis and the line connecting the origin to $z$ in the complex plane.

2. Conjugate of $z$:
   The conjugate $\bar{z}$ of $z = x + iy$ is given by $\bar{z} = x - iy$. This reflection of $z$ occurs across the real axis.

3. Effect of conjugation on the argument:
   The argument of $\bar{z}$, denoted $\text{Arg}(\bar{z})$, is the negative of the argument of $z$, because the conjugation reflects $z$ across the real axis.

   Mathematically:
   $\text{Arg}(\bar{z}) = -\text{Arg}(z)$

4. Given $\text{Arg}(z) = \pi$:
   Substituting into the formula:
   $\text{Arg}(\bar{z}) = -\pi$

5. Principal argument range:
   The principal argument of a complex number is usually restricted to $(-\pi, \pi]$. Since $-\pi$ lies within this range, we can accept $\text{Arg}(\bar{z}) = -\pi$ as the final answer.

Final Answer:

$\text{Arg}(\bar{z}) = -\pi$

Do you want further clarification or details? Here are related questions to expand on this topic:

1. What is the geometric meaning of the argument of a complex number?
2. How does the conjugate of a complex number affect its position on the complex plane?
3. What is the principal argument range of a complex number?
4. If $\text{Arg}(z) = \frac{\pi}{4}$, what is $\text{Arg}(\bar{z})$?
5. How can you graphically represent $z$ and $\bar{z}$ when $\text{Arg}(z) = \pi$?

Tip: The argument of a complex number can change when reflected, rotated, or scaled—be mindful of the principal range $(-\pi, \pi]$.