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 .
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
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 .
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1 answer
To determine whether the angles \( m∠A = 37° \) and \( m∠B = 143° \) are supplementary, we need to check if their sum equals 180°.
Calculating the sum:
\[ m∠A + m∠B = 37° + 143° = 180° \]
Since the sum of the angles equals 180°, this means that angles A and B are supplementary.
The correct reasoning behind this is:
Yes, they are a supplementary pair.
