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A linear pair is formed when two adjacent angles have their non-common side in opposite rays. Their measures will always add up to 180 degrees. Vertival angles are formed by two intersecting lines. Two pairs are formed; they are across from each other (not adjacent), and are congruent.
If two parallel lines are intersected by a third line in two points, then the pairs of alternate interior angles are congruent. This is a conditional statement and uses the word if followed by the word then in the same sentence. When this relationship is reversed, the result is a converse statement. If a pair of alternate interior angles is congruent, then the two lines are parallel. The assumptions and the required conclusions are interchanged.