The supplementary angles are those that add pair 180 degrees. Unlike complementary angles that form 90 degrees. Following the same property and formula of those that complement each other, an angle that has less than 180 degrees will correspond to an angle that supplements it according to the formula A (supplementary angle) = 180 ° minus (-) the angle that needs to be supplemented. Example: A = 180 ° - 150 ° = 30 °.
The supplementary angle of 45 ° is another of 135 °. The supplement of an angle of 179 ° is another of 1 °. The supplementary of an angle of 90 ° is another of the same measure.
Its application in practice is technical, active for the calculation of architectural angles and of importance in construction, by segmenting a circumference creating a diameter line and cutting it at any point obtaining two quarters of a circumference, we are obtaining an angle with its supplementary.
In everyday life the hands of a watch constantly create various complementary angles. Supplementary angles are common in structures that support heavy weights, such as a circus tent, which is fixed to the ground (flat surface) the rope attached to the stake forms an angle, which supplements the remaining space to the ground. In arch bridges you can also see supplementary angles in the bases, just as they form an angle that is supplemented with the other formed in a vacuum. A beam perpendicular to the ground can form two complementary angles to each other (90 °).