﻿ Definition and Examples of Alternate Exterior Angles | Define Alternate Exterior Angles - Geometry - Free Math Dictionary Online

# Alternate Exterior Angles

## Definition of Alternate Exterior Angles

When two lines are cut by another line (transversal), the pairs of angles formed outside the two lines and on the opposite of the transversal are called Alternate Exterior Angles.

### More about Alternate Exterior Angles

If two parallel lines are cut by a transversal, the alternate exterior angles are congruent.

### Examples of Alternate Exterior Angles

AB || CD and EF is the transversal cutting the parallel lines. So, ∠2 and ∠8, ∠1 and ∠7 are the pairs of alternate exterior angles in the figure shown.

### Solved Example on Alternate Exterior Angles

• A. ∠4 and ∠5
• B. ∠2 and ∠8
• C. ∠1 and ∠2
• D. ∠1 and ∠8

#### Solution:

• Step 1: When two lines are cut by another line (transversal), the pairs of angles formed outside the two lines and on the opposite of the transversal are called Alternate Exterior Angles.
• Step 2: From the figure, PQ and RS are parallel lines and UT is a transversal passing through the parallel lines.
• Step 3: The pairs of alternate exterior angles are
• ∠1 and ∠8
∠2 and ∠7
• Step 4: Hence, ∠1 and ∠8 are the alternate exterior angles in the given figure.

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