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 do not add up to 180°.
No, they do not add up to 180 degrees .
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
No, they are not adjacent.
No, they are not adjacent.
No, they do not add up to 90°.
Yes, they are a supplementary pair.
The reasoning behind this answer is that if two lines are parallel and a transversal intersects them, then the corresponding angles are congruent. In this case, angle A and angle B are corresponding angles, which means that they are congruent.
Since angle A measures 37° and angle B measures 143°, they add up to 180°, making them a supplementary pair.
No, they do not add up to 180°.
59°
137°
55°
Supplementary Angles Quick Check
2 of 52 of 5 Items
Question
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
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 .
No, they are not adjacent.
No, they are not adjacent.
Use the relationship between supplementary angles ∠a
and ∠b
. What is m∠a if m∠b=121° ?(1 point)
Responses
31°
31 degrees
301°
301 degrees
59°
59 degrees
121°
Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43° ?(1 point)
Responses
137°
137 degrees
43°
43 degrees
223°
223 degrees
47°
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
305°
305 degrees
125°
125 degrees
35°
35 degrees
55°