Consecutive Interior Angles Converse Theorem
C d 180.
Consecutive interior angles converse theorem. 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. If two parallel lines are cut by a transversal then the pairs of consecutive interior angles formed are supplementary. Consider the line ab.
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. The consecutive interior angles theorem states that when the two lines are parallel then the consecutive interior angles are supplementary to each other. The consecutive interior angles theorem states that when the two lines are parallel then the consecutive interior angles are supplementary to each other.
When the two lines are parallel any pair of consecutive interior angles add to 180 degrees. The theorem tells us that angles 3 and 5 will add up to 180 degrees. Consecutive interior angles theorem.
C and e are consecutive interior angles. Here we will prove its converse of that theorem. To help you remember.
Supplementary means that the two angles add up to 180 degrees. K l t is a traversal. This is the converse because you are given two lines and have to prove that they are parallel the consecutive interior angles converse states that if two lines are cut by a transversal so that consecutive interior angles are supplementary then the lines are parallel.
The consecutive interior angles converse is used to prove that two lines crossed by a transversal are parallel. The pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. Supplementary means that the two angles.