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 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 .
No, they do not add up to 180°
.
No, they do not add up to 180 degrees .
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
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1 answer
To determine whether the two angle measurements can be supplementary, we need to check if the measures of angles A and B add up to 180°.
Given:
Now we can add the two angle measures:
m∠A + m∠B = 37° + 143° = 180°
Since the sum of the angle measurements is 180°, the two angles are supplementary.
Thus, the correct answer is: Yes, they are a supplementary pair.
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