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The image shows a pair of straight lines crossed by a transversal, with one of the angles labeled as 140 degrees. The angle labeled \(x\) is the corresponding angle to the 140 degrees on the parallel lines. According to the corresponding angles postulate, if two parallel lines are cut by a transversal, then the pairs of corresponding angles are equal.

Therefore, the measure of the angle labeled \(x\) is also 140 degrees.

Would you like further details on this topic or help with anything else? Here are some questions and a tip that might interest you:

1. What is the corresponding angles postulate?
2. How do you determine if lines are parallel using angles formed by a transversal?
3. What are alternate interior angles, and how do they relate to parallel lines?
4. Can you calculate other angles formed when two parallel lines are cut by a transversal?
5. How can the properties of angles formed by transversals help in solving real-world problems?

**Tip**: Always sketch a diagram when working with geometric problems involving angles and lines; it can greatly simplify your understanding and solution process.

What is the measure of the angle labeled x?

Learn how to find the measure of the angle labeled x when two parallel lines are cut by a transversal, forming corresponding angles. This problem involves the Corresponding Angles Postulate and is suitable for students in Grades 7-9.

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