Consecutive Interior Angles Theorem Proof
K l t is a transversal.
Consecutive interior angles theorem proof. 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. Angles 4 and 6 will also add up to 180 degrees because they make another pair of consecutive interior angles. In the figure the angles 3 and 5 are consecutive interior angles. The theorem tells us that angles 3 and 5 will add up to 180 degrees.
Ts math videos 14611 views. 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 interior angles formed by a transversal line intersecting two parallel lines are supplementary. This page explains the consecutive interior angles converse theorem.
Consecutive interior angles converse. Using consecutive interior angles to prove parallel. Also the angles 4 and 6 are consecutive interior angles. Consecutive interior angles theorem if two parallel lines are cut by a transversal then the pairs of consecutive interior angles formed are supplementary.
Use this section to learn this theorem in a simple way. If you like this proof then check out my channel to see other proofs of geometric.
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