Final answer:
The Supplementary Angle Theorem states that if two angles are supplementary to the same angle or to congruent angles, then they are congruent to each other.
Step-by-step explanation:
In geometry, the Supplementary Angle Theorem states that if two angles are supplementary to the same angle or to congruent angles, then they are congruent to each other. In other words, if the sum of two angles is 180 degrees, then the angles are congruent. For example, if angle A is supplementary to angle C, and angle B is supplementary to angle C, then angle A and angle B must be congruent.