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

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 are used from branches of mathematics such as calculus, geometry or statistics.

In psychology, without going 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 is, for example, Kurt Lewin.

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


    It is understood by the angle a the part of the plane or reality that separates two lines with the same point in common. It is also considered as such the rotation that one of its lines would have to carry out to pass from one position to another.

    The angle is formed by different elements, among which stand out the edges or the sides which would be the linked lines, and the vertex or the 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 this kind of angle which a 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 one fixed handle pointing at noon and the other before it was a quarter, we would have a sharp angle.

      2. Right angle

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

      3. obtuse angle

      It is called this angle which presents between 90 ° and 180 °, without including them. If it was twelve, the angle the hands of a clock would make to each other it would be obtuse if we had one handle pointing at twelve and the other between a quarter and a half.

      4. Flat angle

      This angle measurement reflects the existence of 180 degrees. The lines that form the sides of the angle come together so that one looks like an extension of the other, as if it were a single line. If we turn our body, we will have made a 180 ° turn. On a clock, we would see an example of a two-quarter-hour flat angle if the handle pointing to noon was still at noon.

      5. Concave angle

      this angle greater than 180 ° and less than 360 °. If we have a round cake in parts of the center, a concave angle would be what would form what was left of the cake as long as we ate less than half of it.

      6. Full or perigonal angle

      This angle is specifically 360 °, leaving the object that makes it in its original position. If we do a full turn to be in the same position as at the start, or if we go around the world ending in exactly the same place where we started, we will have made a 360 ° turn.

      7. Zero angle

      This would correspond to an angle of 0 º.

      Relations between these mathematical elements

      In addition to the types of angles, it should be borne in mind that depending on the point at which the relationship between the lines is observed, we will observe one angle or another. For example in the example of the cake, we can consider the missing portion or what is left of it. Angles can be related to each other in different ways, Being a few examples of those shown below.

      complementary angles

      Two angles are complementary if their angles total 90 °.

      additional angles

      Two angles are additional when the result of its sum generates an angle of 180 °.

      consecutive angles

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

      adjacent angles

      These consecutive angles are understood as such the sum makes it possible to form a flat angle. For example, an angle of 60 ° and another of 120 ° are adjacent.

      opposite angles

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

      Opposite angles from the top

      It would be two angles that they start from the same vertex, extending the half-lines which form the sides beyond their point of union. The image is equivalent to what you would see in a mirror if the reflective surface were placed together at the top and then placed on a plane.

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