Supplementary Angles Quick Check

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Question
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

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 do not add up to 180°. The reasoning behind this answer is that supplementary angles are two angles that add up to 180°. In this case, if ∠A measures 37° and ∠B measures 143°, the sum of the two angles is 180°. Therefore, they cannot be supplementary angles.

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)

No, they are not a supplementary pair. The reasoning behind this answer is that supplementary angles are two angles that add up to 180°. In this case, if ∠A measures 98° and ∠B measures 88°, the sum of the two angles is 186°. Therefore, they cannot be supplementary angles.