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.