Angles formed by Parallel lines

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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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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.

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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

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

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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

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

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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

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

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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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