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° Skip to navigation

Answer 1

To determine whether the statements ∠6 = 28° and ∠5 = 28° are true or false, we can use the properties of parallel lines and transversals.

Since lines A and B are parallel, and a transversal crosses them, we can identify several relationships between the angles.

1. **Identify the angle properties:**
- When a transversal crosses parallel lines, corresponding angles are equal.
- Alternate interior angles are equal.
- Consecutive interior angles are supplementary (add up to 180°).

Given that one angle is labeled 28°, let's define the angles based on their relationships with the 28° angle:

- If we assume the angle labeled 28° is ∠1, then:
- **For ∠6**: If ∠6 is a corresponding angle to ∠1 (for example, on line B in the same relative position), then ∠6 = 28° would be true.
- **For ∠5**: If ∠5 is an alternate interior angle to ∠1, then ∠5 = 28° would also be true.

2. **Filling the table:**
- **Statement: ∠6 = 28°**
- If ∠6 is appropriately positioned as a corresponding angle, this statement is **True**.
- **Statement: ∠5 = 28°**
- If ∠5 is an alternate interior angle to ∠1, this statement is also **True**.

**Conclusion**:
- ∠6 = 28°: **True**
- ∠5 = 28°: **True**

Without the actual figure, I assumed the common relationships for angles when dealing with parallel lines and a transversal. Please adjust based on the specific arrangement shown in your figure.