Which angles are bigger than right angles

Angle types / angle types

We will deal with different types of angles in this article. Above all, examples are intended to provide a better understanding. This article is part of our Mathematics Intermediate Level.

We'll look at different types of angles in this article. So we explain to you what types of angles there are. Before doing this, however, you should know what an angle actually is. For this reason, I recommend reading the following article first:

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An overview of the types and types of angles

Start like with different types of angles or angles. First, a brief overview follows and then these different types of angles are shown again graphically:

  • Zero angle: α = 0 °
  • Acute angle: 0 ° <α <90 °
  • Right angle: α = 90 °
  • Obtuse angle: 90 ° <α <180 °
  • Straight angle: α = 180 °
  • Re-obtuse angle: 180 ° <α <360 °
  • Full angle: α = 360 °

The following graphics now show the different types of angles:

We just got to know the zero angle, the acute angle, the right angle, the obtuse angle, the straight angle, the obtuse angle and the full angle. In addition to these seven types of angles, there are other descriptions of the types of angles, which, however, deal with how different angles relate to one another. More on this in the following section.

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Vertex angles, minor angles, step angles and alternate angles

The vertex angle: If two straight lines intersect, the pair of opposite angles is called the apex angle or the opposite angle. The vertex angles are always the same. In the following graphic the angles α and γ as well as β and δ are vertex angles.

The secondary angle: You can also see secondary angles in the graphic. Two angles lying next to one another are called secondary angles. The sum of two minor angles is 180 °. In the following graphic, for example, α and β or also δ and γ are secondary angles. If two angles add up to 180 °, this is called a supplement angle. If, on the other hand, the sum is only 90 °, they are called complement angles.

The step angle: We now have two parallel straight lines that are intersected by a straight line. A step angle is formed in the process. In the following graphic these are referred to as α and β.

The alternate angle: We now have two parallel straight lines that are intersected by a straight line. An alternating angle is formed in the process. In the following graphic these are referred to as α and β.

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