# Alternate interior and exterior angles

## Find and Use Alternate (Interior or Exterior) Angles

Angles: Corresponding, Alternate Interior, Alternate Exterior Angles and Transversal Lines

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Angles Formed by Lines and a Transversal. Author: Jill Alsman , Trisha Sluder. Topic: Angles , Geometry. You can change aspects of the worksheet by moving the blue points. As you do so, observe what happens to the angle measures. Look for relationships between pairs of angles.

Angles on the same side of the transversal are angles that are in one of the half-planes formed by the transversal. Usually this term is combined with interior or exterior angles to define "interior angles on the same side of the transversal" and "exterior angles on the same side of the transversal". In each illustration below, the following angles are interior angles on the same side of the transversal:. In each illustration below, the following angles are exterior angles on the same side of the transversal:. In illustration one of the example section above, LINE 1 and LINE 2 are parallel and both interior and exterior angles on the same side of the transversal are supplementary. Your browser does not support the canvas element.

When a line called a transversal intersects a pair of lines, alternate interior angles are formed on opposite sides of the transversal. If the pair of lines are parallel then the alternate interior angles are equal to each other. One way to find the alternate interior angles is to draw a zigzag line on the diagram. In the above diagrams, d and e are alternate interior angles. Similarly, c and f are also alternate interior angles. Example 1: Given the diagram below, determine the values of the angles b, c, d, e, f, g and h. In general, the diagram will be as shown below.

Before identifying what alternate interior and alternate exterior angles are, we will first break down the term word by word. When angles are alternate , they lie on opposite sides of the transversal. Consider the word 'alternate': when you alternate something, you are doing a thing every other time. For instance, if you and your co-worker alternate days, you work one day and your co-worker works the next. Similarly with lines when you have alternate angles they are positioned on alternate sides on the transversal as opposed to being on the same side. In the figure above, the t r a n s v e r s a l separates the figure into two alternating sides.

Let's examine these pairs of angles in relation to parallel lines:. Alternate interior angles are " interior " between the parallel lines , and they " alternate " sides of the transversal. Notice that they are not adjacent angles next to one another sharing a vertex. When the lines are parallel, the alternate interior angles are equal in measure. Alternate exterior angles are " exterior " outside the parallel lines , and they " alternate " sides of the transversal.

## Angles Formed by Lines and a Transversal

Before identifying what consecutive interior and consecutive exterior angles are, we will first break down the term word by word.,

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## 5 thoughts on “Alternate interior and exterior angles”

1. Zite U. says:

Learn about Alternate Exterior Angles: When two lines are crossed by another line (called the Transversal), Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite Alternate Interior Angles.

2. Aracelia N. says:

When two parallel lines are intersected by the third transversal , they form eight angles: one of the parallel lines forms four angles a , b , c and d , another forms angles a' , b' , c' and d'.

3. Ermengardi R. says:

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

4. Eraginla says:

Understanding alternate interior and exterior angles, begins with becoming familiar with what is known as a Transversal Line.

5. Ganelon B. says:

Parallel Lines