Consecutive Interior Angles Converse Math

Use this section to learn this theorem in a simple way. 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. We will show that if the consecutive interior angles on the same side of a transversal line intersecting two lines are supplementary then the two lines are parallel.

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We explain consecutive interior angles converse with video tutorials and quizzes using our many ways tm approach from multiple teachers.

Consecutive interior angles converse math. This page explains the consecutive interior angles converse theorem. The consecutive interior angles converse is used to prove that two lines crossed by a transversal are parallel. Usually you are given two parallel lines. This lesson will demonstrate how to prove lines parallel with the converse of the consecutive interior angles theorem.

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. Therefore ab is parallel to cd. C d 180. Consider the line ab.

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. C d c f d f since d and f are alternate angle and are equal. Here we will prove its converse of that theorem.