Transversal Angles Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
A transversal crosses two parallel lines. An alternate exterior angle is 112°112°. What is the measure of its paired alternate exterior angle?

Solution

  1. 1
    Step 1: Alternate exterior angles are outside the parallel lines on opposite sides of the transversal.
  2. 2
    Step 2: When lines are parallel, alternate exterior angles are equal.

Answer

The paired alternate exterior angle is 112°112°.
All three 'alternate' angle relationships (interior, exterior, and corresponding) yield equal angles when lines are parallel. Only co-interior (same-side interior) angles are supplementary rather than equal. Alternate exterior angles are on opposite sides of the transversal, both outside the parallel lines.

About Transversal Angles

When a transversal (a line that crosses two parallel lines), it creates eight angles with four special relationships: corresponding angles are equal, alternate interior angles are equal, alternate exterior angles are equal, and co-interior (same-side interior) angles are supplementary.

Learn more about Transversal Angles →

More Transversal Angles Examples

Example 1 easy

A transversal crosses two parallel lines. One of the angles formed is [formula]. Find the correspond

Example 2 medium

Two parallel lines are cut by a transversal. Co-interior angles (same-side interior angles) are [for

Example 4 hard

Lines [formula] and [formula] are cut by a transversal. Corresponding angles are [formula] and [form

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