Question

Use the figure to answer the question. In the figure, one angle is labeled 28° , and lines A and B are parallel. Complete the table. For each statement, select True or False. Show your work. (1 point) True False ∠6 = 28° ∠5 = 28°

Answer 1

To solve the problem, we need to analyze the relationships between the angles based on the information given and the fact that lines A and B are parallel.

1. **Understanding the Angles**:
- When two lines are parallel, angles formed by a transversal line have specific relationships:
- Corresponding angles are equal.
- Alternate interior angles are equal.
- Same-side interior angles are supplementary (sum to 180°).

2. **Analysis of the Statements**:
- Let's assume the angle labeled 28° is named ∠3 for clarity. Based on our knowledge of parallel lines:

**Statement 1**: ∠6 = 28°
- If ∠3 (the given angle of 28°) and ∠6 are corresponding angles or alternate interior angles, then ∠6 must also be 28°.
- If ∠6 is not in the same position relative to the transversal (e.g., it's not a corresponding or alternative interior angle), we cannot assume they are equal.
- Without seeing the figure, I will tentatively state this is **True**, assuming ∠6 is either an alternate interior angle or a corresponding angle to ∠3.

**Statement 2**: ∠5 = 28°
- Using the same logic, if ∠5 is in the same position relative to the transversal as ∠3 (like a corresponding angle), then it would also equal 28°.
- However, if ∠5 and ∠3 are not related in that way, this could easily be false.
- Again, without the figure, we cannot determine for sure, but I will tentatively say **True**, assuming the same relational angle logic applies.

### Conclusion
- **Table of Results**:
- ∠6 = 28°: **True** (assuming proper angle relationships)
- ∠5 = 28°: **True** (assuming proper angle relationships)

### Final Note:
To provide the most accurate answers, the relationships of the angles in the specific figure should be referenced.