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.
1 answer
To determine whether the angles at points A and B are supplementary, we look at their measures.
Given:
Two angles are considered supplementary if the sum of their measures equals 180°.
Now, let's calculate the sum of the angles:
m∠A + m∠B = 37° + 143° = 180°
Since the sum equals 180°, the angles A and B are supplementary.
Therefore, the correct response is:
Yes, they are a supplementary pair.
