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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.
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.
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). Here we will prove its converse of that theorem.
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°.
3 Αυγ 2023 · What are Consecutive Interior Angles. These are pairs of angles that are formed when a transversal line crosses two parallel or non-parallel lines. Consecutive interior angles also known as co-interior angles lie on one side of the transversal but inside of the two lines.
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°.
Converse of Same Side Interior Angle Theorem: If a transversal intersects two lines in a way that a pair of the same side interior angles are supplementary, then the two lines are said to be parallel. Given: ∠3 +∠6 = 180°. ∠4 + ∠5 = 180°. To prove: l || m.
