Use the image to answer the question.
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° ?
No, the angles are not supplementary. The angles are supplementary if and only if their sum is equal to 180 degrees.
m∠A + m∠B = 98° + 88° = 186° which is greater than 180 degrees.
Therefore, the angles are not supplementary.