It is the opening created by two rays (sides) with the same origin known as vertex. For example, inside a triangle there are three angles that add up to 180º.
Types of angles according to their measure
It refers to simple angles, the measure of the angle is the opening between the sides of the angle and is indicated in degrees (º).
This measures less than 90º, this angle is created when we try to move the index and middle fingers away.
It measures 90º and is revealed graphically with a square at the vertex of the angle. All angles of squares and rectangles have a measure of 90º.
This measures between 90º and 180º, we acquired examples of obtuse angles in the opening of the wings of different airplanes.
This angle measures 180º, It is noted as a straight line. Two right angles constitute a straight angle.
Types of angles with respect to their sum
When there are two angles we classify them as follows:
- Complementary angles : they are those that when added equal to 90º. For example, the supplementary angle of a 30º angle is another 60º (30º+60º=90º).
- Supplementary angles : are those that add up to 180º. For example, the supplementary angle of a 30º angle is another 150º (30º+150º=180º).
Types of angles according to their position
This difference incorporates the position of one angle relative to others.
Each of its angles is shared and the other sides create a straight line (equal to 180º).
Opposite angles by the vertex
They have the same vertex while the sides are extensions of each other. We can acquire angles opposite to the vertex when we open a pair of scissors.
These share a side of either their measure or the sum of the two angles. When consecutive angles meet on one side of a line they add up to 180º. When the angles are immediate around a point, they add up to 360º.
Types of Angles
|Type of angles||angle name||measure in degrees|
|according to your measure||Acute||Less than 90º|
|Obtuse||Greater than 90º less than 180º|
|According to the sum of the angles||Complementary||When the angles are added it 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 180 degrees.|
|Opposite at vertex||These angles are equal in measure|
|In a row||Variable measures|