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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.
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 \(\PageIndex{3}\)
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 Converse of Same-Side Interior Angles Theorem Proof. Let L 1 and L 2 be two lines cut by transversal T such that ∠2 and ∠4 are supplementary, as shown in the figure. Let us prove that L 1 and L 2 are parallel. Since ∠2 and ∠4 are supplementary, then ∠2 + ∠4 = 180°.
When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles. In this example d and f are Consecutive Interior Angles.
