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 .
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.
The reasoning behind the answer is that the two angles are corresponding angles, which are formed when a transversal intersects two parallel lines. Corresponding angles are always congruent, so if one angle measures 37 degrees, the other angle must also measure 37 degrees. Since the sum of supplementary angles is always 180 degrees, these angles cannot be supplementary because their sum is 74 degrees (37 + 37).