Consecutive Interior Angles Are Supplementary

The diagonals are congruent.

Consecutive interior angles are supplementary. Perhaps the hardest property to spot in both diagrams is the one about supplementary angles. In the figure below angles 4 and 6 are consecutive interior angles. The consecutive interior angles theorem states that when the two lines are parallel then the consecutive interior angles are supplementary to each other.

This property will be very useful in many problems involving parallelograms. When the two lines are parallel any pair of consecutive interior angles add to 180 degrees. Supplementary means that the two angles add up to 180 degrees.

Formally consecutive interior angles may be defined as two interior angles lying on the same side of the transversal cutting across two parallel lines. Are called consecutive interior angles. All the special quadrilaterals except the kite by the way contain consecutive supplementary angles.

Supplementary means that the two angles. Consecutive interior angles are supplementary. To help you remember.

One of the basic properties of parallelograms is that any pair of consecutive angles are supplementary. D and f are consecutive interior angles. We ll prove this property using one of the theorems about parallel lines the consecutive interior angles theorem.

Also the angles 4 and 6 are consecutive interior angles. The theorem the consecutive interior angles theorem states that the two interior angles formed by a transversal line intersecting two parallel lines are supplementary i e. The angle pairs are consecutive they follow each other and they are on the interior of the two crossed lines.