Consecutive Interior Angles Theorem

They sum up to 180.

Consecutive interior angles theorem. To help you remember. Also the angles 4 and 6 are consecutive interior angles. The consecutive interior angles theorem states that when the two lines are parallel then the consecutive interior angles are supplementary to each other.

Supplementary means that the two angles add up to 180 degrees. The consecutive interior angles theorem states that the consecutive interior angles on the same side of a transversal line intersecting two parallel lines are supplementary that is their sum adds up to 180. This can be proved by showing that the angles inside the two lines and on the same side of the transversal are supplementary add to 180 degrees than you can conclude the lines are parallel.

The angle pairs are consecutive they follow each other and they are on the interior of the two crossed lines. 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. The problem ab cd prove m 5 m 4 180 and that m 3 m 6 180.

When the two lines being crossed are parallel lines the consecutive interior angles add up to 180. The consecutive interior angles theorem states that the two interior angles formed by a transversal line intersecting two parallel lines are supplementary i e. Supplementary means that the two angles.

Here we will prove its converse of that theorem. The consecutive interior angles theorem states that when the two lines are parallel then the consecutive interior angles are supplementary to each other. In the figure the angles 3 and 5 are consecutive interior angles.

Consecutive interior angles theorem. Click on consecutive interior angles to have them highlighted for you.