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 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 .
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
The reasoning behind the answer is that when a line intersects two parallel lines, alternate interior angles are formed. Alternate interior angles are congruent, which means they have the same measure. In this case, angle A and angle B are alternate interior angles, so they have the same measure.
If angle A measures 37°, then angle B will also measure 37°. Since the sum of supplementary angles is 180°, 37° + 143° = 180°. Therefore, angles A and B form a supplementary pair.