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 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 .
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
No, they do not add up to 180°
.
1 answer
To determine whether angles A and B are supplementary, we need to check if the sum of their measures equals 180 degrees.
We have:
Now, we add these two angles together:
\[ m∠A + m∠B = 98° + 88° = 186° \]
Since the sum of angles A and B is 186 degrees, they do not add up to 180 degrees.
Therefore, the correct response is:
No, they do not add up to 180°.
