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The image shows a pair of parallel lines cut by a transversal, with one angle marked as 130°, and the question is asking for the value of the indicated angle (marked with a "?" symbol).

To solve this:

1. The 130° angle and the "?" angle are **supplementary angles** because they are on the same side of the transversal and lie between the parallel lines (these are known as **consecutive interior angles**).

2. Supplementary angles sum to 180°. Thus, we can find the "?" angle by subtracting 130° from 180°.

\[
? = 180^\circ - 130^\circ = 50^\circ
\]

Thus, the measure of the indicated angle is **50°**.

Would you like more details or have any further questions?

Here are 5 relative questions for further practice:
1. What are alternate interior angles, and how do they relate to parallel lines?
2. Can two adjacent angles be both supplementary and congruent?
3. If the given angle was 120°, what would the measure of the indicated angle be?
4. What is the relationship between corresponding angles when a transversal cuts parallel lines?
5. How can you prove that two angles are vertical angles?

**Tip:** Always remember, consecutive interior angles formed by a transversal with parallel lines are supplementary (their sum is 180°).

Find the measure of the indicated angle in the diagram where two parallel lines are cut by a transversal, and one angle is given as 130°.

Learn how to find the measure of an indicated angle when parallel lines are cut by a transversal. This problem involves using the concept of supplementary angles. Suitable for students in Grades 6-8.

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