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We can verify that these are supplementary angles by adding 125º ( angle a) and 55º ( angle b), whose result is equal to 180º (a straight angle or two right angles). For this, we must subtract the angle a from 180º and the result will be the angle b, its supplement.įor example: if the angle a measures 125º, when we subtract 125º from 180º we will reach a result of 55º. Suppose we intend to find the supplementary angle b of an angle a. Supplementary angles can be obtained by appealing to arithmetic. In particular, perhaps the clearest example and the one that allows us to understand more and better what those are like can be found in the hands of any watch. In all mentioned structures we can clearly appreciate what supplementary angles are.īut not only that, in our day to day, we also have examples of complementary angles. What examples do we have around us in this regard? Well, from the arched bridges that we can see in many towns and cities to the tents that are raised to host an outdoor wedding, also passing through what can be the beam that exists in a house or premises and that is presented perpendicularly. Specifically, these can be found in what are structures of all kinds, but more precisely in those that are considered to have to support a lot of weight. In addition to what we have stated so far, it is interesting that we are aware that in everyday life we ​​find many examples of supplementary angles. While supplementary angles are equivalent to two right angles, complementary angles are equivalent to one right angle.

It is important not to confuse supplementary angles (which add up to 180º) with complementary angles (which add up to 90º). In this way, starting from all the above, we would come across the fact that the supplementary of an angle of 135º would be one of 45º or that the supplementary one of an angle of 179º is one of 1º. Since each right angle measures 90º, the sum of the supplementary angles is equal to 180º (that is, at a straight angle). These are the angles that, when added together, result in two right angles. The supplementary adjective, for its part, refers to that which supplements or complements something.įrom these ideas, it is easy to understand what supplementary angles are. Geometric figures that are formed by two rays, which share an origin (vertex), are called angles.