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Linear Pair Theorem
If two angles form a linear pair, then they are supplementary.
Vertical angles theorem
If two angles are vertical angles, then they are congruent.
If two angles are supplementary to the same angle, then they are congruent
If two angles are complementary to the same angle, then they are congruent
Right Angle Theorem
If two angles are supplementary and congruent, then they are right angles.
If p then q
if q then p
if not p then not q
If not q then not p
p iff q