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 do not add up to 90°
.
No, they do not add up to 90 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 180°
.
1 answer
To determine if angles A and B can be supplementary, we need to check if their measures add up to 180 degrees.
Given:
Now, let's add these angle measures together:
m∠A + m∠B = 37° + 143° = 180°
Since the sum of the two angles is 180 degrees, this means they are supplementary.
Thus, the correct answer is: Yes, they are a supplementary pair.
