Alternate Exterior Angles


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More Lessons for High School Regents Exam
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High School Math based on the topics required for the Regents Exam conducted by NYSED. How to Find an Angle Using Alternate Exterior Angles?




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Alternate Exterior Angles
When two lines are intersected by a transversal (a line that crosses them), several pairs of angles are formed. Alternate exterior angles are one such pair.

Alternate exterior angles are a pair of angles that are:
Exterior: They lie outside the two lines being intersected by the transversal.
Alternate: They are on opposite sides of the transversal.

The following diagram shows some examples of alternate exterior angles and alternate exterior angle theorem. Scroll down the page for more examples and solutions.

Alternate Exterior Angles
 

Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Geometry Worksheets

Alternate Exterior Angles Theorem:
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent

Converse Theorem:
If alternate exterior angles are congruent, then the two lines are parallel.

Videos

Alternate Exterior Angles: Examples (Basic Geometry Concepts)
Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located “outside” the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Alternate exterior angles are congruent, meaning they have equal measure.

Alternate Exterior Angles
Parallel Lines and Alternate Exterior Angles

How to Find an Angle Using Alternate Exterior Angles?




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