Types of angles

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Egbert Haynes
Types of angles

The types of angles are the different names that the angles receive according to their measure and their relationship with other angles.

An angle is the opening formed by two rays (sides) with the same origin called vertex. For example, within a triangle there are three angles, which in total add up to 180º.

Comparative table of the types of angles

Angles type Angle name Measure (in degrees)
According to your measure Acute Less than 90º
Right 90º
Obtuse Greater than 90º less than 180º
Flat 180º
According to the sum of the angles Complementary When the sum of the angles is equal to 90º
Supplementary When the sum of the angles is equal to 180º
According to its relationship in space with other angles Adjacent The angles together measure 180º
Opposed by the vertex These angles have equal measure
In a row Variable measures


Images of the types of angles

Different types of angles.

Types of angles according to their measure

This difference between angles refers to simple angles. The measure of the angle is the opening between the sides of the angle and is expressed in degrees (º).

Acute angle

An acute angle formed by the index and middle fingers of the hand.

The acute angle is the angle that measures less than 90º. Examples of acute angles is the angle that is formed when we try to separate the index and middle fingers.

right angle

Is he angle measuring 90º. It is graphed with a square at the vertex of the angle. All the angles of squares and rectangles measure 90º.

Obtuse angle

The wings of some airplanes form an obtuse angle.

The angle obtuse is the one who measures between 90º and 180º. We get examples of obtuse angles in the opening of the wings of some airplanes.

Plain angle

The handlebars of some bicycles form a flat angle.

The straight angle is the angle that measures 180º. It looks like a straight line. Two right angles form a straight angle.

Types of angles with respect to their sum

When we have two angles, we can classify them as:

  • complementary angles: are those whose sum is equal to 90º. For example, the complementary angle of a 30º angle is another 60º (30º + 60º = 90º).
  • Supplementary angles: are those whose sum is equal to 180º. For example, the supplementary angle of a 30º angle is another of 150º (30º + 150º = 180º).

Types of angles according to their position

This difference takes into account the position of one angle with respect to another (s).

Adjacent angles

The donkey of the scooter forms two adjacent angles with the base of the motorcycle.

The angles are adjacent when one of the sides is shared and the other sides form a straight line (equal to 180º).

Opposite angles by the vertex

An open forceps or scissors forms two opposite angles at the vertex.

They have the same vertex while the sides are extensions of each other. We can get opposite angles to the vertex when we open a scissors.

Consecutive angles

The rudder of a ship presents consecutive angles.

Consecutive angles are those angles that share a side, regardless of its measure or the sum of the two angles. When consecutive angles are formed on one side of a line they add up to 180º. When the angles are consecutive around a point, they add up to 360º. For example, the rudder of a ship has consecutive angles.

See also Circle and circumference.


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