Answer
Complementary angles are defined as two angles that sum to 90°, which represents a right angle, while supplementary angles total 180°, or a straight angle. Although these concepts may not seem exciting in geometry, recognizing them in diagrams and applying the relevant theorems in proofs is essential. The theorems pertinent to complementary angles are: Complements of the same angle are congruent, meaning if two angles are both complementary to a third angle, they are congruent to each other (involving three angles). Additionally, complements of congruent angles are congruent, indicating that if two angles are complementary to two other congruent angles, those angles must be congruent as well (involving four angles). Therefore, the justified reason is: Angles that are congruent are complementary to the same angle.
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