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Lesson 82:  Angles:  Interior, Exterior, Opposite

In this easy lesson, we'll learn some new definitions, and some more about angles. 

Parallel Lines Cut By TransversalTake a look at the diagram at right.  We can see two parallel lines, with a diagonal line cutting through them.  The diagonal line is called a transversal.  You'll hear that word quite a bit in math.

You can see that 8 angles are formed.  Angles C, D, E, and F are called interior angles.  They are on the interior of the two parallel lines.  Angles A, B, G, and H are called exterior angles.  They are outside of the parallel lines. 

Angles A and D are called opposite angles, simply because they are opposite each other.  They are often referred to by their other name:  vertical angles.  Angles B and C are also vertical angles.  So far E and H, and G and F.  Vertical angles are always equal in measure.  See if you can see this from the diagram.  Also note that even if we alter the angle at which the transversal crosses the parallel lines, the vertical angles that are formed will still be equal.   

Later you will learn more about how we can solve problems using the information in this lesson.  For now, memorize these terms and make sure that you understand the concept. 

Remember that you can ask a math question if you have additional questions about a topic, or you can contact me if you have any comments or suggestions for this site.

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