Three main types of angles are formed by parallel lines -
1. Corresponding angles
2. Alternate angles and
3. Interior angles
Here it is explained how to Identify these three types of angles

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Slide 1:

PARALLEL LINES 6/11/2010 MATH GIRISH RAO If two lines are drawn in a plane such that they do not intersect,
even when extended indefinitely in both directions, then such
lines are called as parallel lines.
A line which intersects two distinct lines in a plane in exactly two
points is called a transversal.

Slide 2:

When a transversal intersect two parallel lines,
we get following types of angles
Corresponding Angles
Alternate Angles
Co – interior angles
Linear pair of Angles (Adjacent Angles)
Vertically opposite Angles Out of the five types, let us see angles of first three types 6/11/2010 MATH GIRISH RAO

Slide 3:

6/11/2010 MATH GIRISH RAO Corresponding angles
They are “F” shaped
angles.

Slide 4:

6/11/2010 MATH GIRISH RAO

Slide 5:

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Slide 7:

When a pair of parallel lines are intersected by the transversal we get four pairs of Corresponding angles as shown in the figure
Corresponding angles have same measure 6/11/2010 MATH GIRISH RAO

Slide 8:

6/11/2010 MATH GIRISH RAO Alternate angles.
They are “Z” shaped angles

Slide 9:

6/11/2010 MATH GIRISH RAO

Slide 10:

6/11/2010 MATH GIRISH RAO When a pair of parallel lines are intersected by the transversal we get two pairs of interior Alternate angles as shown in the figure
Alternate angles have same measure

Slide 11:

6/11/2010 MATH GIRISH RAO Co – interior angles.
This are “ [ “ shaped angles

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6/11/2010 MATH GIRISH RAO

Slide 13:

6/11/2010 MATH GIRISH RAO When a pair of parallel lines are intersected by the transversal we get two pairs of interior co – Interior angles as shown in the figure.
The sum of co-interior angles is always 1800

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