No, the two angle measurements cannot be supplementary.
Supplementary angles are two angles whose measures add up to 180 degrees. If two angles are supplementary, one angle must be smaller than 90 degrees and the other angle must be larger than 90 degrees.
In this case, m∠A is 37 degrees, which is less than 90 degrees. m∠B is 143 degrees, which is greater than 90 degrees. Therefore, the sum of their measures is less than 180 degrees. Thus, they cannot be supplementary angles.
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?
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