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.
(1 point)
True False
∠5 = 28°


∠6 = 28°

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 days ago

To determine whether the statements are true or false, we need to recall the properties of parallel lines and angles.

1. **For ∠5 = 28°**: If ∠5 is an alternate interior angle to the given 28° angle between the parallel lines, then this statement is **True**. If ∠5 is a corresponding angle to the given angle, it is also **True**. If it is neither, then the statement is **False**.

2. **For ∠6 = 28°**: Similar reasoning applies to ∠6. If ∠6 is in the same position as the given angle (corresponding angle), then this statement is **True**. If it is an alternate exterior angle or another relation that maintains parallel lines, then this can also be **True**. If not related to the 28° angle at all, then it would be **False**.

Without the figure, if we assume that angle 28° has corresponding or alternate angles, a typical assumption in geometry involving parallel lines would lead to the conclusion that:

- If ∠5 and ∠6 correspond to or alternate with the given angle, then both statements would be **True**.

If you have further context or need a specific conclusion, please provide the details or a description of the figure.