The 7 types of angles, and how they can create geometric figures

Mathematics is one of the purest and most technically objective sciences that exists.. 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 understanding 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, we work from shapes and angles. These shapes, which can be used to represent areas of action, are estimated simply by opening these corner angles. In this article we are going to look at the different types of angles that exist.

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The angle

Angle is understood to be 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 straight lines that are related, and the vertex or point of union between them.

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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 and the other before it was a quarter past we would have an angle sharp.

2. Right angle

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

3. Obtuse angle

This is the name given to that 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 it would be obtuse if we had one hand pointing to twelve and the other between quarter past and half past.

4. flat 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 seems to be 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 clock, an example of a flat angle would be seen at half past twelve if the hand that points to twelve were stationary 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 the one that would form what was left of the cake as long as we ate less than half.

6. Full angle or perigonal

This angle makes 360° specifically, leaving the object that makes it 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 exactly in the same place that 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 portion or the remaining portion of it. Angles can be related to each other in different ways, some examples being those 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 addition 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 are understood as such whose sum makes it possible to form a straight angle. For example, a 60° angle and a 120° angle are adjacent.

opposite angles

Angles with the same degrees but opposite valence would be opposite. One is the positive angle and the other is the same but with a negative value.

Opposite angles by the vertex

It 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 reflecting surface were placed together at the vertex and then placed on a plane.