What Is The Consecutive Interior Angles Converse
This page explains the consecutive interior angles converse theorem.
What is the consecutive interior angles converse. 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. 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 are supplementary.
If you can show that 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. So are angles 3 and 5. Learn about converse theorems of parallel lines and a transversal. C and e are consecutive interior angles.
Formally consecutive interior angles may be defined as two interior angles lying on the same side of the transversal cutting across two parallel lines. Consecutive interior angles theorem consecutive interior angles 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. Play with it below try dragging the points. In the figure the angles 3 and 5 are consecutive interior angles.
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. D and f are consecutive interior angles. 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.
Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. The organic chemistry tutor recommended for you. Sat math test prep online crash course algebra geometry study guide review functionsyoutube duration. 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.
Transversal efgh intersects lines ab and cd such that a pair of alternate e are equal.
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