Knowing the etymological origin of the two words that shape the term consecutive angles is what we are going to do now. In that case this is what you need to know:
-Angle comes from the Greek word "ankulos", which meant "crooked", and passed it to Latin with the current meaning of angle through "angulus".
-Consecutive, on the other hand, comes from Latin. Exactly derived from "consecutivus", which can be translated as "he who continues without interruption." It is formed by the sum of three clearly differentiated elements: the prefix "con-", which can be translated as "together"; the verbal form "sequi", which can be translated as "follow", and finally the suffix "-tivo". This is used to indicate a passive or active relationship.
A angle It is a geometry figure that is formed by two semi-lines that share the origin vertex. Consecutive On the other hand, it is an adjective that refers to that immediately follows a thing.
The consecutive angles , also called contiguous angles , are angles that have a common side and the same vertex . These angles, therefore, share one side and vertex and are located side by side.
The sum of the consecutive angles becomes equal to the angle formed by what are the uncommon sides of the angles.
It should be noted that the consecutive angles are also adjacent angles : The definition of adjacent angles alludes to one side and the vertex shared, but also adds that the other two sides must be opposite semi-straight.
Exactly it is determined that adjacent angles are angles that are both complementary and consecutive.
The conjugated angles , on the other hand, are consecutive angles. The theory tells us that the conjugate angles have their sides and the vertex of origin in common, like the consecutive ones, and add up 360º (a perigonal angle ).
We can find consecutive angles in certain cases of complementary angles . Recall that the complementary angles add up 90º . When these two complementary angles are consecutive, the sides that do not have in common form the right angle in question.
The supplementary angles, whose particularity is that they add 180º (a flat angle), can also be consecutive angles when their vertex and one of its sides are shared.
It should be considered that each consecutive angle of another can be a acute angle (measures more than 0º and less than 90º ), a right angle (90º ) or a obtuse angle (more of 90º and less than 180º ).
In addition to these types of angles that concern us there are many others equally important within the field of mathematics such as opposite angles. These are the ones that are characterized because they have a vertex in common and the sides of one become what is the extension of the others.
In the same way, we cannot overlook either that there are cases of convex angles, concave angles and even flat angles that are considered consecutive angles.