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° ?
Yes, the angles are supplementary. The definition of supplementary angles is that they add up to 180 degrees.
As given, m∠A = 98° and m∠B = 88°.
Since 98° + 88° = 186°, which is larger than 180°, the angles are supplementary.