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Let's analyze the given diagrams and determine the correct answer.

### Given Information:
- Lines \( k \) and \( l \) are parallel.
- Line \( t \) is a transversal intersecting both \( k \) and \( l \).
- The diagram in the bottom right shows an angle of \( 79^\circ \) at line \( k \).
- We need to determine the value of \( x^\circ \) at line \( l \).

### Step-by-Step Solution:
1. **Alternate Interior Angles Theorem**:
   - Since \( k \parallel l \) and \( t \) is a transversal, the angles on opposite sides of \( t \) but inside the parallel lines are **alternate interior angles**.
   - Alternate interior angles are **congruent** when lines are parallel.

2. **Applying the Theorem**:
   - The given angle is \( 79^\circ \).
   - By the Alternate Interior Angles Theorem, the corresponding angle at line \( l \) is also \( 79^\circ \).
   - Hence, \( x = 79^\circ \).

3. **Choosing the Correct Answer**:
   - Option **A** states: "The value of \( x \) is 79, because the two angles shown in each diagram are congruent."
   - This is **correct** based on the Alternate Interior Angles Theorem.

### Answer:
✅ **Option A: The value of \( x \) is 79, because the two angles shown in each diagram are congruent.**

Would you like a deeper explanation or more examples?  

Here are five related questions you might find interesting:
1. What are alternate interior angles, and how do they apply to parallel lines?
2. How do we determine if two angles are supplementary or complementary?
3. What is the difference between corresponding and alternate interior angles?
4. How can we prove that two lines are parallel using angle relationships?
5. What happens when a transversal intersects two **non-parallel** lines?

### **Tip**:
Always look for angle relationships like **alternate interior, corresponding, and vertical angles** when working with parallel lines and transversals!

Based on the diagrams, which statement is true?

Learn how to determine the value of angle x when parallel lines are intersected by a transversal. This problem covers key geometric concepts such as alternate interior angles, angle congruence, and the Alternate Interior Angles Theorem. Suitable for Grades 7-9.

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