A horizontal line and a line slanting slightly upwards from left to right are intersected by a nearly vertical line. The supplementary angles formed above the point of intersection with the nearly vertical line and the horizontal line are an unlabeled angle and an angle labeled A. Angle A is on the right and is slightly greater than 90 degrees. The supplementary angles formed above the point of intersection with the nearly vertical line and the other line running left to right are an unlabeled angle and an angle labeled B. Angle B is on the left and is slightly less than 90 degrees.
Are the angles supplementary if m∠A=98° and m∠B=88° ?
(1 point)
Responses
No, they do not add up to 90°.
No, they do not add up to 90 degrees .
No, they are not adjacent.
No, they are not adjacent.
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
No, they do not add up to 180°.
No, they do not add up to 180 degrees .
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1 answer
To determine if angles A and B are supplementary, we need to check if their measures add up to 180 degrees.
Given:
Now, we can calculate their sum:
\[ m∠A + m∠B = 98° + 88° = 186° \]
Since \( 186° \) is greater than \( 180° \), angles A and B do not add up to 180 degrees. Therefore, the answer to the question is:
No, they do not add up to 180 degrees.
