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The converse of the same-side interior angle theorem states that if a transversal intersects two lines such that a pair of same-side interior angles are supplementary, then the two lines are parallel.
1 Μαΐ 2024 · 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).
The converse of the consecutive interior angles theorem states that if a transversal intersects two lines such that a pair of consecutive interior angles are supplementary, then the two lines are parallel.
6 Φεβ 2023 · Consecutive interior angles are pairs of angles on one side of a line—called a “transversal”—that crosses two other lines. The Consecutive Interior Angle Theorem states that when the two lines crossed by the transversal are parallel, the consecutive interior angles add up to 180°.
11 Δεκ 2023 · The Same-Side Interior Angles Theorem states that if a transversal cuts two parallel lines, then the interior angles on the same side of the transversal are supplementary. Supplementary angles are ones that have a sum of 180°.
15 Ιουν 2022 · Converse of the Same Side Interior Angles Theorem: If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel. If Figure \(\PageIndex{3}\)
3 Αυγ 2023 · Converse of Consecutive Interior Angles Theorem. Prove the Converse of Consecutive Interior Angles Theorem. To prove: PQ∥ RS.