© 2006  Rasmus ehf

Geometry - Angles and degrees

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Lesson 1.

 


   
Angles are measured in degrees. A circle (a complete rotation) is 360 degrees.


 

        Look at 1/4 of a circle.


Some common angles

 

A 90° angle is called a

right angle.  

An angle between 90° and 180° is called an

obtuse angle. 

An angle that is less than 90° is called an

acute angle. 

   


More about angles, degrees and similar figures

Half a circle is 180 degrees 

(a straight angle).

Supplementary angles are angles that have a common arm and add up to 80 degrees. The green and blue angles have a sum of 180 degrees.  

Example:

    How many degrees is angle X?

 

Calculate: 


 Similar figures

           

Figures with exactly the same shape are called similar figures. Corresponding angles in similar triangles are equal. This rule applies to all polygons. 


 

Similar figures 

Similar figures 

Similar figures 

not similar

not similar


Sums of angles

In a triangle, the angles add up to 180°. 

The angles in a rectangle add up to 360°. 

In all quadrilaterals  the angles add up to 360°.The diagram shows a parallelogram

Practice these methods and try Quiz 1 on Geometry. Remember to use the Checklist to keep track of your work.