Consecutive interior angles are pairs of non-adjacent interior angles that lie on the same side of a transversal when two parallel or non-parallel lines are crossed by another line. These angles are also known as co-interior angles and are formed when a transversal line cuts through two parallel lines. The Consecutive Interior Angle Theorem states that when the two lines intersect, the sum of the consecutive interior angles is equal to 180 degrees.
In the example provided, the pairs of consecutive interior angles are ∠1 and ∠4, ∠2 and ∠3, and ∠3 and ∠5. Consecutive interior angles are formed within the inner region of the two parallel lines. When the two lines being crossed are parallel lines, the Consecutive Interior Angles add up to 180°.
Consecutive internal angles are pairs of angles that meet two parallel lines on the same side of a transversal line. Examples of consecutive interior angles include alpha (orange) and beta (yellow) angles, which share the vertex and a side.
In summary, consecutive interior angles are pairs of non-adjacent interior angles that lie on the same side of a transversal when two parallel lines are crossed by a transversal. They are formed within the inner region of the two parallel lines and are essential in geometry.
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