Knowing the etymological origin of the two words that shape the term
consecutive angles is what we are going to do now. In this case, this is what
you need to know:
Angle comes from the Greek word "ankulos", which meant "twisted", and which
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 "the one that continues without
interruption". It is formed by the sum of three clearly differentiated elements:
the prefix “with”, which can be translated as “together”; the verb form "sequi",
which can be translated as "follow", and finally the suffix "tivo". This is
used to indicate a passive or active relationship.
An angle is a figure of geometry that is formed by two rays
that share the vertex of origin. Consecutive, for its part, is
an adjective that refers to what follows immediately to a thing.
According to
DigoPaul,
the consecutive angles, also called adjacent angles are
angles that have one side in common and the same vertex. These
angles, therefore, share one side and vertex and are located next to each other.
The sum of the consecutive angles is equal to the angle formed by what are
the uncommon sides of the angles.
It should be noted that consecutive angles are also adjacent angles:
the definition of adjacent angles refers to one side and the vertex shared, but
also adds that the other two sides must be opposite rays.
Exactly it is determined that the adjacent angles are angles that are both
complementary and consecutive.
The angles conjugates, moreover, are straight 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 to 360º (a perigonal
angle).
We can find consecutive angles in certain cases of complementary
angles. Remember that the complementary angles add up to 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 peculiarity is that they add up to 180º (a
flat angle), can also be consecutive angles when their vertex and one of their
sides are shared.
It must be considered that each consecutive angle of another can be an acute
angle (it measures more than 0º and less than 90º),
a right angle (90º) or an obtuse
angle (more than 90º and less than 180º).
In addition to these types of angles that concern us, there are many other
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.
