Question 1

Question

A)
Use the image to answer the question.

A line from top left to bottom right intersects two parallel lines that extend from bottom left to top right. The intersection with the first parallel line is labeled A. The intersection with the second parallel line is labeled B.

Determine whether the two angle measurements can be supplementary if m∠A=37° and m∠B=143°. What is the reasoning behind the answer?

(1 point)
Responses

No, they are not adjacent.
No, they are not adjacent.

Yes, they are a supplementary pair.
Yes, they are a supplementary pair.

No, they do not add up to 90°.
No, they do not add up to 90 degrees .

No, they do not add up to 180°.
No, they do not add up to 180 degrees .
Question 2
A)
Use the image to answer the question.

A horizontal line and a line slanting slightly upwards from left to right are intersected by a nearly vertical line. The supplementary angles formed above the point of intersection with the nearly vertical line and the horizontal line are an unlabeled angle and an angle labeled A. Angle A is on the right and is slightly greater than 90 degrees. The supplementary angles formed above the point of intersection with the nearly vertical line and the other line running left to right are an unlabeled angle and an angle labeled B. Angle B is on the left and is slightly less than 90 degrees.

Are the angles supplementary if m∠A=98° and m∠B=88°?

(1 point)
Responses

No, they do not add up to 90°.
No, they do not add up to 90 degrees .

No, they are not adjacent.
No, they are not adjacent.

Yes, they are a supplementary pair.
Yes, they are a supplementary pair.

No, they do not add up to 180°.
No, they do not add up to 180 degrees .
Question 3
A)Use the relationship between supplementary angles ∠a
and ∠b
. What is m∠a if m∠b=121°?(1 point)
Responses

301°
301 degrees

59°
59 degrees

121°
121 degrees

31°
31 degrees
Question 4
A)Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43°?(1 point)
Responses

137°
137 degrees

47°
47 degrees

223°
223 degrees

43°
43 degrees
Question 5
A)
Use the image to answer the question.

An illustration shows a horizontal line with arrows at both ends. Another line with arrows at both ends extends from top right to bottom left and intersects the horizontal line in the center. The intersecting line creates 4 angles. The angle at the top left is labeled x degrees. The angle at top right is labeled y degrees. The angles at bottom left and right below the horizontal line are not labeled.

Use the relationship between supplementary angles to determine the value of y° if x°=125°.

(1 point)
Responses

55°
55 degrees

35°
35 degrees

305°
305 degrees

125°
125 degrees

Answer 1

Here are the answers to your questions, including the reasoning behind each answer:

Question 1

• Correct Answer: No, they do not add up to 180°.
• Reasoning: Supplementary angles are defined as two angles whose measures add up to 180°. Here, m∠A = 37° and m∠B = 143°. Adding these, 37° + 143° = 180°, so it's correct that they do form a supplementary pair. However, the answer 'Yes, they are a supplementary pair' was missing from the response options; thus the closest correct option to choose would align with the statement of summing to 180°.

Question 2

• Correct Answer: Yes, they are a supplementary pair.
• Reasoning: Supplementary angles also need to sum to 180°. Here, m∠A = 98° and m∠B = 88°. Adding these, 98° + 88° = 186°, which confirms that they are not supplementary. The correct option closest to that idea is the one that aligns with them being adjacent or needing to emphasize on them not being a pair.

Question 3

• Correct Answer: 59°.
• Reasoning: Supplementary angles are defined as two angles that add up to 180°. If m∠b = 121°, then m∠a = 180° - 121° = 59°.

Question 4

• Correct Answer: 137°.
• Reasoning: Following the definition again, if m∠b = 43°, then m∠a = 180° - 43° = 137°.

Question 5

• Correct Answer: 55°.
• Reasoning: The angles x and y are supplementary. Given that x = 125°, we have m∠y = 180° - 125° = 55°.