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Question
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 do not add up to 180°
.
No, they do not add up to 180 degrees .
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 .
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
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page 11 of 11
1 answer
To determine whether the angles \( m∠A = 37° \) and \( m∠B = 143° \) can be 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 is \( 180° \), we can conclude that they are supplementary angles.
The correct reasoning is: Yes, they are a supplementary pair.
