https://file.aiquickdraw.com/mathbot/file/1726710815276q4bivlha.jpg

It seems like you have provided an image with a geometry problem. Let's break it down.

### Problem Analysis:
1. The problem involves two lines intersected by a transversal.
2. The angles formed are given as:
   - One angle is \( 95^\circ \).
   - The other angle is \( (5x + 25)^\circ \).
3. There's an equation provided that involves these angles, \( (5x + 25)^\circ + 95^\circ = x = 11 \).

However, this equation as written doesn't seem to follow the normal angle relationships, and it could be a transcription error. But before proceeding, I’ll assume what the problem might be asking.

### Possible Interpretation:
If the two angles are supplementary, then:
\[
(5x + 25)^\circ + 95^\circ = 180^\circ
\]
We can solve this equation for \( x \).

### Solving the Equation:
\[
(5x + 25) + 95 = 180
\]
\[
5x + 120 = 180
\]
\[
5x = 60
\]
\[
x = 12
\]

So, the value of \( x \) is 12.

### Key Points:
- If the angles were meant to be supplementary, \( x \) is found to be 12.
- If the problem had different constraints, the interpretation might vary.

Would you like more details on this solution or have any further questions?

### Follow-Up Questions:
1. What are supplementary angles, and why do they add up to 180 degrees?
2. How would you solve for \( x \) if the angles were complementary instead?
3. Can the value of \( x \) affect the size of the angles differently if the lines are parallel or non-parallel?
4. What if the equation was meant to set these angles equal to each other? How would you solve that?
5. How would the solution change if \( x \) was required to be an integer?

### Tip:
Always ensure to recheck angle relationships (like supplementary or complementary) when solving geometry problems to avoid errors in setting up your equations.

Learn how to solve for x in the equation (5x + 25)° + 95° by applying the concept of supplementary angles. This geometry problem involves basic linear equations and is suitable for students in Grades 8-10.

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