Use the figure to answer the question.

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°

Answer 1

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.