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 reasoning behind this answer is that angles A and B are vertical angles, meaning they are opposite each other and are congruent. Since angle A measures 37° and angle B measures 143°, their sum would be 180°. However, two angles are supplementary if and only if they are adjacent, meaning they share a common vertex and a common side. Since angles A and B do not share a common side, they cannot be supplementary.