The 7 Types Of Angles, And How They Can Create Geometric Figures

From these simple elements of mathematics you can create any figure with polygons.

Mathematics is one of the purest and most technically objective sciences that exist. In fact, in the study and research of other sciences, different procedures from branches of mathematics such as calculus, geometry or statistics are used. 

In Psychology, without going any further, some researchers have proposed to understand human behavior from the typical methods of engineering and mathematics applied to programming. One of the best known authors to propose this approach was  Kurt Lewin, for example.

In one of the aforementioned, geometry, one works from shapes and angles. These shapes, which can be used to represent action areas, are estimated simply by opening these angles placed at the corners. In this article we are going to look at the different types of angles that exist.

The angle

An angle is understood as the part of the plane or portion of reality that separates two lines with the same point in common. The rotation that one of its lines should carry out to go from one position to another is also considered as such.

The angle is formed by different elements, among which stand out the edges or sides that would be the lines that are related, and the vertex or point of union between them.

Types of angles

Below you can see the different types of angles that exist.

1. Acute angle

It is called as such that type of angle that has between 0 and 90 °, not including the latter. An easy way to imagine an acute angle can be if we think of an analog clock: if we had a fixed hand pointing to twelve o’clock and the other before a quarter past we would have an acute angle.

2. Right angle

The right angle is one that measures exactly 90 °, the lines that are part of it being completely perpendicular. For example, the sides of a square form 90º angles to each other.

3. obtuse angle

This is the name of the angle that presents between 90 ° and 180 °, without including them. If it were twelve o’clock, the angle that the hands of a clock would make with each other would be obtuse if we had one hand pointing to twelve and the other between a quarter and a half.

4. Plain angle

That angle whose measurement reflects the existence of 180 degrees. The lines that form the sides of the angle are joined in such a way that one looks like an extension of the other, as if they were a single straight line. If we turn our body around, we will have made a 180 ° turn. On a watch, an example of a flat angle would be seen at twelve thirty if the hand pointing to twelve were still at twelve.

5. Concave angle

That angle of more than 180 ° and less than 360 °. If we have a round cake in parts from the center, a concave angle would be what would form the remainder of the cake as long as we ate less than half.

6. Full or perigonal angle

This angle makes specifically 360 °, the object that performs it remains in its original position. If we make a complete turn, returning to the same position as at the beginning, or if we go around the world ending in exactly the same place we started, we will have made a 360º turn.

7. Null angle

It would correspond to an angle of 0º.

Relationships between these mathematical elements

In addition to the types of angle, it must be taken into account that depending on the point at which the relationship between the lines is observed, we will be observing one angle or another. For example, in the example of the cake, we can take into account the missing or remaining portion of it. Angles can be related to each other in different ways, some examples being shown below.

Complementary angles

Two angles are complementary if their angles add up to 90 °.

Supplementary angles

Two angles are supplementary when the result of their sum generates an angle of 180 °.

Consecutive angles

Two angles are consecutive when they have a side and a vertex in common.

Adjacent angles

Consecutive angles whose sum allows to form a flat angle are understood as such . For example, an angle of 60 ° and another of 120 ° are adjacent.

Opposite angles

The angles that have the same degrees but of opposite valence would be opposite. One is the positive angle and the other the same but negative value.

Opposite angles by the vertex

They would be two angles that start from the same vertex by extending the rays that form the sides beyond their point of union. The image is equivalent to what would be seen in a mirror if the reflective surface were placed together at the vertex and then placed on a plane.

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