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∠5 = 28°∠6 = 28°Skip to navigation
Answers
GPT-4o mini
To answer your question, we need to understand a few basic properties of parallel lines and angles. When two lines are parallel and a transversal cuts through them, several angle relationships are established, including corresponding angles, alternate interior angles, and consecutive interior angles.
Let’s assume that:
- Angle 5 is an angle formed at one of the intersections (either as a corresponding angle or alternate interior angle).
- Angle 6 is another angle formed at the other intersection.
Now, based on the information provided (with one angle labeled 28°):
1. **If Angle 5 = 28°:**
- **True**: If Angle 5 is a corresponding angle or alternate interior angle with respect to the angle labeled 28°, then Angle 5 will indeed equal 28°.
2. **If Angle 6 = 28°:**
- **True**: Similarly, if Angle 6 is also a corresponding angle or alternate interior angle with respect to the labeled angle of 28°, then Angle 6 will also equal 28°.
Now, you would complete the table as follows:
| Statement | True | False |
|---------------------|------|-------|
| ∠5 = 28° | True| |
| ∠6 = 28° | True| |
If you can provide more specifics about the diagram or angle positions, I could give a more tailored explanation. But based on typical properties, that is how you would evaluate the truth of the statements.
Let’s assume that:
- Angle 5 is an angle formed at one of the intersections (either as a corresponding angle or alternate interior angle).
- Angle 6 is another angle formed at the other intersection.
Now, based on the information provided (with one angle labeled 28°):
1. **If Angle 5 = 28°:**
- **True**: If Angle 5 is a corresponding angle or alternate interior angle with respect to the angle labeled 28°, then Angle 5 will indeed equal 28°.
2. **If Angle 6 = 28°:**
- **True**: Similarly, if Angle 6 is also a corresponding angle or alternate interior angle with respect to the labeled angle of 28°, then Angle 6 will also equal 28°.
Now, you would complete the table as follows:
| Statement | True | False |
|---------------------|------|-------|
| ∠5 = 28° | True| |
| ∠6 = 28° | True| |
If you can provide more specifics about the diagram or angle positions, I could give a more tailored explanation. But based on typical properties, that is how you would evaluate the truth of the statements.