Consecutive interior angles are pairs of angles on one side of a transversal but inside the two lines. They are formed when any two straight lines are intersected by a transversal, with different vertices and lying between two lines. The ‘consecutive interior angle theorem’ asserts that if a transversal meets two parallel lines, each pair of consecutive internal angles is supplementary.
There are four pairs of consecutive interior angles: ∠3 and ∠5; ∠4 and ∠6; and ∠1 and ∠7; ∠2 and ∠8. In any parallelogram, there can be four pairs of consecutive angles. The sum of the consecutive interior angles is always 180 degrees.
When two horizontal lines are intersected by a transversal, there are two pairs of consecutive interior angles: pair ∠1 angle1 and ∠1 and ∠2. Consecutive interior angles add up to 180 degrees only if the two lines being crossed by a transversal line are parallel to one another.
There are two steps to solve for consecutive interior angles: find the number of pairs of consecutive interior angles when n horizontal lines are intersected by a transversal, and find the number of consecutive internal angles.
In summary, consecutive interior angles are pairs of angles on one side of a transversal but inside the two lines. They are supplementary and can be found in any parallelogram.
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