Same Side Consecutive Interior Angles

In the figure the angles 3 and 5 are consecutive interior angles. Each pair of interior angles are inside the parallel lines and on the same side of the transversal.

Consecutive Interior Angles Theorem

Angles 4 and 5 indicated in green are also same side interior angles.

Same side consecutive interior angles. Also the angles 4 and 6 are consecutive interior angles. A demonstration on same side interior and same side exterior angles. Well same side interior angles would be 4 and 5 so notice we have parallel lines and the transversal.

Brian mclogan 16 599 views. To help you remember. What are consecutive interior angles duration.

Interior means inside the parallel lines. Consecutive interior angles theorem consecutive interior angles when two lines are cut by a transversal the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles. In the above diagrams d and e are alternate interior angles.

In this example these are consecutive interior angles. When the two lines are parallel any pair of consecutive interior angles add to 180 degrees. Play with it below try dragging the points.

How to identify alternate interior angles. Angles 3 and 6 indicated in pink are same side interior angles. The pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles.

The alternate interior angles theorem states that. So are angles 3 and 5. And line t is the transversal line intersecting lines a.

When two parallel lines are cut by a transversal the resulting alternate interior angles are congruent. Consecutive interior angles are supplementary. So if two parallel lines are intersected by a transversal then same side i ll say interior since this is in between angles are supplementary.

C and e are consecutive interior angles. In the figure above click on other angle pair to show each pair of interior angles in turn. The angle pairs are consecutive they follow each other and they are on the interior of the two crossed lines.

4 and 5 are on the same side of that transversal. There are thus two pairs of these angles. D and f are consecutive interior angles.

Formally consecutive interior angles may be defined as two interior angles lying on the same side of the transversal cutting across two parallel lines. One way to find the alternate interior angles is to draw a zigzag line on the diagram.

Proof Consecutive Interior Angles Are Supplementary Youtube