The consecutive interior angle theorem states that if a transversal line intersects a pair of parallel lines, then the sum of the consecutive interior angles is equal to 180 degrees.

Nov 30, 2018 · A parallelogram is a simple quadrilateral and has 2 pairs of parallel sides. The opposite-facing are of equal length. The opposite-facing angles are of e qual measure. The …

The properties of parallelograms, which state that consecutive angles are supplementary, and that all right angles are congruent provide clear evidence supporting the proof.

Dec 12, 2017 · The statements that prove a quadrilateral is a parallelogram include: A (one diagonal bisects the other), B (two sets of consecutive angles are supplementary), and D (one …

What are the types of angles and angle relationships? Learn about corresponding interior angles, alternate corresponding angles, and angle relationships names.

Mar 21, 2024 · This proof demonstrates that in any parallelogram, consecutive angles are supplementary due to the properties of parallel lines and the relationship of linear pairs. The …

May 7, 2018 · The property of consecutive angles being supplementary in a parallelogram can be proven using the properties of parallel lines and transversal angles, which states that the …

Jan 20, 2021 · Examples of quadrilaterals that have supplementary consecutive angles include rectangles, rhombuses, and squares, all of which are types of parallelograms. The property of …

Sep 28, 2020 · Definitions of corresponding, alternate interior, alternate exterior, and consecutive interior angles help in accurately classifying each angle pair. This classification reveals their …

Jun 16, 2022 · In the given case, ∠2 and ∠8 are supplementary /alternate interior angles. The correct answer is supplementary/alternate interior angles. Two angles are known as …