Consecutive Interior Angles Parallel Lines

What is the consecutive interior angles theorem.

Consecutive interior angles parallel lines. When the two lines are parallel any pair of consecutive interior angles add to 180 degrees. Also called co interior angles in the uk and australia. Use these properties of the angle pairs to find the value of x.

Two lines are parallel if and only if the two angles of any pair of consecutive interior angles of any transversal are supplementary sum to 180. The organic chemistry tutor 217 835 views 41 56. Click on consecutive interior angles to have them highlighted for you language note.

Also the angles 4 and 6 are consecutive interior angles. The consecutive interior angles theorem states that the two interior angles formed by a transversal line intersecting two parallel lines are supplementary i e. 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.

They sum up to 180. When the two lines being crossed are parallel lines the consecutive interior angles add up to 180. 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 the above given figure you can see two parallel lines are intersected by a transversal. Have distinct vertex points lie on the same side of the transversal and. Therefore the alternate angles inside the parallel lines will be equal.

Parallel and perpendicular lines transversals alternate interior angles alternate exterior angles duration. These angles are called alternate interior angles. The consecutive interior angles theorem states that if two parallel lines are cut by a transversal then each pair of alternate interior angles is congruent.