Supplementary Angles Quick Check
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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
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 .
No, they do not add up to 90°.
No, they do not add up to 90 degrees .
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page 12 of 12
1 answer
Supplementary angles are two angles whose measures add up to 180°.
Let's add the given angle measurements:
\[ 37^\circ + 143^\circ = 180^\circ \]
Since the sum of \( m\angle A \) and \( m\angle B \) is 180°, the two angle measurements can indeed be supplementary.
Therefore, the correct response is:
**Yes, they are a supplementary pair.**