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.

No, they do not add up to 180°.
No, they do not add up to 180 degrees .

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

Yes, they are a supplementary pair.

No, they do not add up to 180°. The two angles cannot be supplementary because the sum of their measures is 37° + 143° = 180°, which is not equal to 180°.

what 180 = 180

My apologies for the confusion. Yes, 180° is equal to 180°. Therefore, the two angles can be supplementary if their measures add up to 180°. As m∠A = 37° and m∠B = 143°, their measures do add up to 180°, so they are a supplementary pair. The answer is Yes, they are a supplementary pair.

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 180°.
No, they do not add up to 180 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 90°.

No, they do not add up to 180°. Angle A measures 98° and angle B measures 88°, therefore, their measures do not add up to 180°. Hence, the angles are not supplementary. The answer is No, they do not add up to 180°.