1. Where the angles in a linear pair are supplementry, and if parallel lines are cut by a transversal, then the interior angles are congruent, and if two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel. That's what makes up a linear pair postulate anyway.
2. If two adjacent angle's unshared sides form a straight angle, then they are a linear pair.
3.If two angles form a linear pair,then they are supplementary.
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The Supplement Postulate states that if two angles form a linear pair, then they are supplementary.
Actually, it's the Linear Pair Postulate, which is... If two angles form a linear pair, then they are supplementary; that is, the sum of their measures is 180 degrees.
vertical angles theorem
The linear pair conjecture states that if two angles form a linear pair, the sum of the angles is 180 degrees.
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