Angle types are different names for angles based on their measure and their relationship to other angles.
An angle is the opening formed by two rays (sides) with the same origin called the vertex. For example, within a triangle there are three angles, which in total add up to 180º.
Comparative table of types of angles
Type of angles Name of the angle Measure (in degrees) According to its measure Acute Less than 90º Straight 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 their relationship in space with other angles Adjacent The angles together measure 180º Opposite by the vertex These angles have the same measure Consecutive 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 that measures 90º. It is represented graphically by a square at the vertex of the angle. All the angles of the 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.
flat 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 an angle of 30º is another of 60º (30º+60º=90º).
supplementary angles: are those whose sum is equal to 180º. For example, the supplementary angle of an angle of 30º 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.
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 clamp or scissors forms two angles opposite each other at the vertex.
They have the same vertex while the sides are extensions of each other. We can get angles opposite the vertex when we open a pair of scissors.
consecutive angles
A ship’s rudder has consecutive angles.
Consecutive angles are those angles that share a side, regardless of their 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 angles are consecutive around a point, they add up to 360º. For example, a ship’s rudder has consecutive angles.
See also Circle and circumference.