Use the figure to answer the question.%0D%0A%0D%0AIn the figure, one angle is labeled 28°%0D%0A28%0D%0A°%0D%0A, and lines A%0D%0A%0D%0A and B%0D%0A%0D%0A are parallel. Complete the table. For each statement, select True or False.%0D%0A%0D%0A(1 point)%0D%0ATrue%09False%0D%0A∠5 = 28°%0D%0A∠%0D%0A5%0D%0A %0D%0A=%0D%0A %0D%0A28%0D%0A°%0D%0ATrue – ∠5 = 28°%0D%0A∠%0D%0A5%0D%0A %0D%0A=%0D%0A %0D%0A28%0D%0A°%0D%0AFalse – ∠5 = 28°%0D%0A∠%0D%0A5%0D%0A %0D%0A=%0D%0A %0D%0A28%0D%0A°%0D%0A∠6 = 28°%0D%0A∠%0D%0A6%0D%0A %0D%0A=%0D%0A %0D%0A28%0D%0A°%0D%0ATrue – ∠6 = 28°%0D%0A∠%0D%0A6%0D%0A %0D%0A=%0D%0A %0D%0A28%0D%0A°%0D%0AFalse – ∠6 = 28°%0D%0A∠%0D%0A6%0D%0A %0D%0A=%0D%0A %0D%0A28%0D%0A°
True - ∠5 = 28°
True - ∠6 = 28°
Based on the information given, we know that line A and line B are parallel, and one angle is labeled as 28°.
Let's complete the table:
Statement: True False
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∠5 = 28° True False
∠6 = 28° True False
To answer the question, you need to analyze the figure provided and determine the relationships among the angles. Here's how you can do it:
1. Look at the figure and locate the angle labeled 28°. This angle is shown as ∠5.
2. The lines A and B are parallel, which means that alternate interior angles are congruent. Therefore, since ∠5 is an interior angle formed by A and B, it is also congruent to the other interior angles made by A and B.
3. Since we know that ∠5 is 28°, we can conclude that ∠6 is also 28°. This is because ∠6 is another interior angle formed by the parallel lines A and B.
Now, let's complete the table using this information:
∠5 = 28° - True (since it is given in the figure)
∠6 = 28° - True (as explained above)
∠5 = 28° - False (since ∠5 cannot be equal to itself, it is given in the figure)
∠6 = 28° - True (since ∠6 is congruent to ∠5)
So, the correct answers are:
- True
- False
- True
- False