5th grade
Natural numbers
Basic arithmetic operations
Calculation laws and advantages
Geometry

6th grade
Divisibility of numbers
Factions
Decimal fractions
Angles and angle measures

7th grade
Assignment and rule of three
Calculation of percentage
Rational numbers
Equation and inequation
Probability calculus

8th grade
Function and assignment
Triangles
Quadrangles
Calculation of surfaces
Transformation of terms
Probability calculus

9th grade
The root
Record set of the pythagoras

10th grade
Circle calculation
The cone
Power calculation
Power laws
Exponential function
Logarithm
Trigonometry
Probability calculus

 

Angles and angle measures
Vertically opposed angle, stages and alternate angles, ...

[Home] [Search] [Forum] [Links] [Contact] [Imprint] [Sitemap]

[German] [English]
 

      

   

Between the two half straight lines a and b are two angles. The S point is the vertically opposed angle and the two half straight lines are called the limbs of the angle.

Instead of coloring the angle, we can mark it with Greek letters. Usually we only need the first five of the alphabet, some times even less. The first five letters are: Alpha (which corresponds to the English letter a), Beta (which corresponds to the English letter b), Gamma (which corresponds to the English letter g), Delta (which corresponds to the English letter d), Epsilon (which corresponds to the English letter e).

The size of an angle is indicated and measured by the unit of degrees. There for, the units angle has the measurement of 1o.

 

Vertically opposed angle

 

 

The angles α and α’ lie on two crossing straights opposite of each other. They are called vertically opposed angles and are respectively alike.

 

Stages angles and alternate angles

The angles α and α’ lie on a straight, that is crossed twice by two other straights that are parallel to each other. We call these angles stages angles. These angles have the quality of being the same size.

 

The vertically opposed angle on a stages angle is called alternate angle and logically has the quality of also being respectively the same size. The angles α and α’ are consequently the same size in this shape.

 

Types of angles

There are following types of angles (shown with their properties)

*     acute angle < 90 Degrees

*     right angle  = 90 Degrees

*     obtuse angle > 90 Degrees

*     straight angle = 180 Degrees

*     reflex angle > 180 Degrees and < 360 Degrees

*     full angle  = 360 Degrees

 

 

Copyright © 2005 Christian Franzki - Emkacom Group
Mathematik-Wissen.de - Math-Knowledge.com - Mathe-online.eu - Mathematik-online.eu - Physik-Wissen.de - Pysik-online.eu  - Deviation-Studios.de - 11G1-online
02/09/07