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 answer
No, the two angle measurements cannot be supplementary. Supplementary angles add up to 180 degrees. If angle A measures 37 degrees, then angle B must measure 180 - 37 = 143 degrees in order for them to be supplementary. However, in this case, angle B is already measuring 143 degrees, so there is no additional amount to make them add up to 180 degrees. Therefore, the two angle measurements cannot be supplementary.
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