the word angle comes from the Latin "angulus" which translates as "corners" and the etymological origin of this is Greek "ankulos" whose meaning refers to "bent", the angle is located in the plane between two rays, called equal sides or very similar in the point of origin that is called vertex.
The angle is also said to be the figure formed by two common rays and it is considered to be the opening formed by a surface of two rays that start from a common point called the vertex or that of an angle which is the region of a plane produced by a ray that rotates about its origin.
The angles are measured in degrees, minutes and seconds values, the measured circumference 360, or centesimal measuring the circumference 400, dividing the unit of measurement of angles defined as the center angle of a circle in which the length of the The arc and the radius are equal, the measurement is made with a protractor that is formed by a graduated semicircle that examines the rotation made by one of the sides on the other, focusing on the vertex.
In this area they can be defined by extension in that only two dimensions, height and width of the plane trigonometry or trigonometry curves are considered part of the mathematics that deals with the calculation of the elements of the triangles.
The Solid Angle is the one that forms each of the two parts of space limited by a conical surface, which is the one that an object seen from a given point covers by measuring its apparent size.