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The 'consecutive interior angle theorem' states that if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary, that is, the sum of the consecutive interior angles is 180°.
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Co-Interior Angles: These angles are the pair of...
- Corresponding Angles
The corresponding angles definition tells us that when two...
- Same Side Interior Angles
The relation between the same side interior angles is...
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The relation between the same side interior angles is determined by the same side interior angle theorem. The theorem for the "same side interior angle theorem" states: If a transversal intersects two parallel lines, each pair of same-side interior angles are supplementary (their sum is 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°.
The same side interior angles are also called co-interior angles or consecutive interior angles. The given diagram shows the same side interior angles formed when i) parallel lines are cut by a transversal ii) two non-parallel lines are cut by a transversal.
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.
The Same Side Interior Angle Theorem says that when two parallel lines are cut by a transversal, any pair of same side interior angles will be supplementary—meaning that their sum will equal 180 degrees.
3 Αυγ 2023 · What are consecutive interior angles in geometry - their definition, theorem and its converse explained with examples
