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A angle It is formed by two semi-lines 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 who measures 180° . It is one greater than the null angle (which measures 0 °), the acute angle (greater than 0 ° but less than 90 °), the right angle (90 °) and the obtuse angle (measures more than 90 ° and less than 180 °). Instead, the flat angle is less than the perigonal angle -also called full angle -, which has an amplitude of 360 °.

Taking this data into account, we can say that a flat angle equals two right angles (90 ° + 90 ° = 180 °) and at half of a perigonal angle (360° / 2 = 180°).

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

Tracing a flat angle is simple if we use a conveyor and a compass . We just have to do one semi-straight with the conveyor, open the compass from the origin to the end of the semi-straight and then draw a 180 ° turn until you reach the opposite side. The amplitude of the 180 ° angle places us at a flat angle.

One of the complementary concepts to the angle is the bisector , a half-line that crosses the vertex of an angle and results in two halves, that is, two identical parts. It's about the geometric place (the set of points at which certain properties or conditions are noticed) of the plane that is at the same distance from each of the two semi-lines that form the angle; in other words, each point of the bisector is at the same distance from both semi-lines.

In the case of flat angles, the bisector is easier to draw than in most others: since, at a glance, an angle of 180 ° is no more than a line, just determine its center point, the vertex of the two semi-lines, and start drawing from there 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 physical , regardless 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 flat 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, it moves through the stage following another vector, and the same goes for all moving objects.

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

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