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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.
Congruent Angles Theorem. 1  The following list gives some useful properties of the congruence of angles. 2  If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent. 3  If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent. Given $\angle$1 and $\angle$ 3 are both supplementary to the same angle , prove that they are congruent.