1. What Are Alternate Exterior Angles?

Alternate exterior angles are pairs of angles that lie on opposite sides of a transversal and outside the two lines. When the two lines are parallel, these angles are equal in measure.

2. How Does the Calculator Work?

The calculator uses the Alternate Exterior Angle Theorem:

Where:

• Angle 1 — First alternate exterior angle (degrees)
• Angle 2 — Second alternate exterior angle (degrees)
• Lines must be parallel for angles to be equal

Explanation: The theorem states that when two parallel lines are cut by a transversal, the alternate exterior angles are congruent.

3. Importance of Alternate Exterior Angles

Details: Understanding alternate exterior angles is crucial in geometry for proving lines parallel and solving various angle relationship problems.

4. Using the Calculator

Tips: Enter one angle measurement in degrees (0-360) and specify whether the lines are parallel. The calculator will determine the other angle if lines are parallel.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between alternate exterior and alternate interior angles?
A: Alternate exterior angles lie outside the parallel lines, while alternate interior angles lie between them.

Q2: Do alternate exterior angles always add up to 180°?
A: No, they are equal when lines are parallel. Only consecutive exterior angles add to 180°.

Q3: How can I prove lines are parallel using alternate exterior angles?
A: If alternate exterior angles are congruent, then the lines are parallel.

Q4: Can alternate exterior angles be right angles?
A: Yes, if the transversal is perpendicular to two parallel lines.

Q5: What happens to alternate exterior angles when lines aren't parallel?
A: They will not be equal in measure - their relationship depends on the angle of intersection.