flat angle

A angle it is formed by two rays that share the same vertex as origin. There are numerous types of angles that differ from each other according to their characteristics: one of the most common ways to distinguish them is by taking into account their amplitude.

A flat angle, in this framework, is the one that measures 180 °. It is one greater than the null angle (measuring 0 °), the acute angle (greater than 0 ° but less than 90 °), the right angle (90 °) and obtuse angle (It measures more than 90 ° and less than 180 °). Instead, the plane angle is less than the perigonal angle -also called full angle-, which has an amplitude of 360 °.

Taking into account these data, we can affirm that a straight angle is equivalent to two right angles (90 ° + 90 ° = 180 °) and at half a perigonal angle (360 ° / 2 = 180 °).

If we focus on the construction of a straight angle with vectors, we will notice that it is the turn made by the vector to totally change its direction. That is to say: when a vector that points to one direction, rotates and starts to point to the opposite direction, in its trajectory it completes a straight angle (it makes a 180 ° turn).

Drawing a straight angle is easy if we use a conveyor and a compass. We only have to do one ray With the protractor, open the compass from the origin to the end of the ray and then make a 180 ° turn until you reach the opposite side. The width of the angle of 180 ° places us before a flat angle.

One of the complementary concepts to the angle is the bisector, a ray that passes through the vertex of an angle and results in two halves, that is, two identical parts. It is about the locus (the set of points at which certain properties or conditions are noticed) from the plane that is at the same distance from each of the two rays that form the angle; in other words, each point on the bisector is at the same distance from both rays.

In the case of flat angles, the bisector is easier to draw than in most others: since, with the naked eye, a 180 ° angle is just a line, simply determine its center point, the vertex of the two rays, and start from there to draw a line perpendicular to both. As a result of the bisector we obtain two right angles, that is, 90 °.

Angles are a fundamental part of mathematics, but also of any discipline that uses graphic elements to recreate situations typical of the physicalregardless of the degree of realism. Whether in cartoon series, computer-animated films or video games, although the public is not always aware of it, it would not be possible to animate a character walking or the trajectory of a rock that flies through the air without calculating many angles simultaneously .

As mentioned in a previous paragraph, the straight angle can be used to graph the total change of direction of a vector, and this concept is another of the fundamentals of the aforementioned fields: a video game character has a vector indicating its orientation in space, moves across the stage following another vector, and the same is true for all moving objects.

Although mathematics is not to the liking of most people, in everyday speech there are many expressions that have their source in this science. Focusing specifically on the concept of a flat angle, it is often said that a situation or life itself takes a 180 ° turn to refer to a drastic or complete change, from peace to chaos or vice versa.