https://file.aiquickdraw.com/mathbot/file/17246986865317kz6jxqg.jpg

The image shows two parallel lines cut by a transversal, forming corresponding angles. The two angles are given as:

- \(125^\circ\)
- \(x + 130^\circ\)

Since these are corresponding angles, they are equal. Therefore, we can set up the equation:

\[
125^\circ = x + 130^\circ
\]

To solve for \(x\):

1. Subtract \(130^\circ\) from both sides of the equation:
   \[
   125^\circ - 130^\circ = x
   \]
   \[
   x = -5^\circ
   \]

So, \(x = -5^\circ\).

Would you like more details or have any questions? Here are some related questions to consider:

1. Why are corresponding angles equal when a transversal cuts parallel lines?
2. What does it mean when the value of \(x\) is negative in this context?
3. How would the problem change if the lines were not parallel?
4. Can you verify the solution by substituting \(x\) back into the equation?
5. What other angle relationships are formed by a transversal cutting parallel lines?

**Tip:** Always be careful with angle measures, especially when subtracting, to avoid negative angles unless the context allows for them.

Explore how to solve the problem involving corresponding angles formed by two parallel lines cut by a transversal. Understand the theorem behind corresponding angles and step-by-step solution method. Suitable for Grades 7-9.

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