Consecutive Interior Angles Examples

I can identify parallel lines skew lines transversals alternate interior angles alternate exterior angles corresponding angles and consecutive interior angles.

Consecutive interior angles examples. The two angles circled in blue make one pair of consecutive interior angles and the other two angles circled in red make another pair of consecutive interior angles. And this is how you prove the consecutive interior angles converse theorem. If angle 3 measures 60 degrees then angle 5 will measure 180 60 120 degrees.

The angle pairs are consecutive they follow each other and they are on the interior of the two crossed lines. To help you remember. Consider the line ab.

C d c f d f since d and f are alternate angle and are equal. When the two lines are parallel any pair of consecutive interior angles add to 180 degrees. Formally consecutive interior angles may be defined as two interior angles lying on the same side of the transversal cutting across two parallel lines.

If they are you can use the theorem to help you find the measurement of angle 5. C d 180. C and e are consecutive interior angles.

Both pairs are between the 2 lines and are both on the same side of the transversal. This page explains the consecutive interior angles converse theorem. 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.

This is the answer in our case because the two angles are consecutive interior angles to each other. This theorem states that if two lines are cut by a transversal so that the consecutive interior angles are supplementary then the lines are said to be parallel. In proving the original theorem we relied on the fact that a linear pair of angles are supplementary.