Angles on Parallel Lines
Alternate Angles

Alternate angles are equal and pairs of them are shown in the diagram below.
They form a Z shape.

angle c = angle b (alternate angles)

angle a = angle d (alternate angles)

angles on parallel lines1

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Corresponding Angles

Corresponding angles are equal and pairs of them are shown in the diagram below.
angles on parallel lines2
angle b = angle d (corresponding angles)

angle a = angle c (corresponding angles)

These are above the parallel lines and there are two more below, unlabelled. They form an F shape.

 

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Interior Angles
 

These are on the inside of the parallel lines as shown below.
angles on parallel lines3
Interior angles add up to 180o .
angles on parallel lines4
Again these properties can be used to solve problems.
 
For example:
In the diagram below, calculate angles a, b, c and d.
 
angles on parallel lines5
angles on parallel lines6

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