Right Angle – What is it, examples and other types of angles

We explain what a right angle is in geometry, its characteristics and examples from everyday life. Also, other types of angles.

right angle
The sides of a right angle are perpendicular rays.

What is a right angle?

In geometry, it is common for angles to be classified according to their opening or closing. In that sense, right angles are those that measure exactly 90 ° sexagesimal (or expressed in other units: 𝛑 / 2 radians, or 100g hundredths). This means that its two sides are two perpendicular rays, whose meeting point makes up the angle.

Right angles are very easy to recognize, since their degree of opening is fixed and stable, and they can be found in many geometric figures, such as squares, rectangles or right triangles.

Characteristics of right angles

Right angles are characterized by the following:

  • They have an opening degree of exactly 90 °. This is equivalent to the angle formed at their meeting point by two rays perpendicular to each other.
  • The vertex of the angle is at the exact point where the two rays intersect (that is, where their sides meet).
  • The orthogonal projection of one onto the other is a point coinciding with the vertex.

Examples of right angles

right angle court examples
The corners of soccer fields form right angles.

Examples of right angles abound, such as:

  • The angle they form the corners of our room, that is, the meeting point between two straight and perpendicular walls.
  • The angle a column makes with respect to the floor straight, that is, it does not have any degree of inclination.
  • The angle they form the corners of a book any.
  • The angle they make up the corners of a soccer field, tennis or a ping-pong table.
  • The angle at any of the corners of a square.

Types of angles

Just as there are right angles, we can also mention four other possible classifications of angles:

  • Null angles, those whose two sides coincide, forming an angle of 0 ° or nonexistent.
  • Obtuse angles, those whose opening is greater than 90 ° sexagesimal (that is, more open than a right angle).
  • Acute angles, those whose opening is less than 90 ° sexagersimal (that is, less open than a right angle).
  • Flat angles, those whose sides are two consecutive lines, which meet at the vertex, and therefore form an aperture of 180 ° sexagesimal.