Consecutive Interior Angles Geometry

  • 4 min read
  • Jan 10, 2020

When the two lines are parallel any pair of consecutive interior angles add to 180 degrees. The 2 angles in purple d and e make one pair of consecutive interior angles and the other 2 angles in red c and f make another pair of consecutive interior angles.



Consecutive Interior Angles

Identifying consecutive interior angles.


Consecutive interior angles geometry. From this definition youll see problems asking you to identify angles that are consecutive interior angles. 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. Transversal is the line crossing the other two lines.

Are called consecutive interior angles. Both pairs are between the 2 lines and are both on the same side of the transversal. C and e are consecutive interior angles.

When given parallel lines and a transversal we can label and identify many different types of angles such as alternate exterior alternate interior corresponding and consecutive interior angles. What is the relationship between parallel lines and transversal. Have distinct vertex points lie on the same side of the transversal and.

They sum up to 1800. 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. The angle pairs are consecutive they follow each other and they are on the interior of the two crossed lines.

Play with it below try dragging the points. The consecutive interior angles theorem states that the two interior angles formed by a transversal line intersecting two parallel lines are supplementary ie. The problem will ask if you can identify which other angle is the consecutive interior angle to a particular angle.

Consecutive interior angles are the two pairs of angles that. D and f are consecutive interior angles. In todays lesson we will show a simple method for proving the consecutive interior angles converse theorem.

The pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. In the figure the angles 3 and 5 are consecutive interior angles. Identifying consecutive interior angles.

To help you remember. 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 1800.



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