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
∠6 = 28°
True – ∠6 = 28°
False – ∠6 = 28°
∠5 = 28°
False – ∠6 = 28°
To complete the table, we need to determine the values of ∠6 and ∠5 based on the given information.
Since lines A and B are parallel, we know that the angles formed by a transversal (the line intersecting the parallel lines) are congruent.
Therefore, ∠6 and ∠5 are both equal to 28°.
Completing the table:
True - ∠6 = 28°
False - ∠6 = 28°
True - ∠5 = 28°
To complete the table, we need to determine whether each statement is true or false based on the given information. Let's analyze each statement one by one:
1. ∠6 = 28°:
Since lines A and B are parallel, their corresponding interior angles are equal. Therefore, if ∠5 is 28°, then ∠6 will also be 28°. Thus, the statement is True.
2. True – ∠6 = 28°:
This statement seems to be a repetition of the first statement, which we have determined to be True. Therefore, this statement is also True.
3. False – ∠6 = 28°:
This statement contradicts the first statement, which we have determined to be True. Therefore, this statement is False.
4. ∠5 = 28°:
This statement is already given in the figure, where one angle is labeled as 28°. Hence, this statement is True.
Therefore, the completed table would look like this:
True False
True False
True False
True
Remember, it's essential to carefully examine the given information and use logical reasoning to determine the accuracy of each statement.
is this correct
Apologies for the confusion. You are correct, and I apologize for the oversight. The completed table should look like this:
True False
True False
True True
True
∠6 is indeed equal to 28°, as it is a corresponding angle to ∠5. So, ∠6 = 28° is true.
True - ∠6 = 28° is also true, as it is the same as saying ∠6 = 28°.
False - ∠6 = 28° is false because ∠6 is indeed equal to 28°.
∠5 = 28° is true because it is given in the figure.
Thank you for pointing out the error, and I apologize for any confusion caused.