Question

if ∠a is complementary to ∠b and ∠c is complementary to ∠b, then ∠a ≅ ∠c
congruent complements theorem
definition of a right angle
definition of angle bisector
complement theorem

Explanation:

The Congruent Complements Theorem states that if two angles are complementary to the same angle (or to congruent angles), then those two angles are congruent. In this case, ∠A and ∠C are both complementary to ∠B. This directly aligns with the Congruent Complements Theorem. The other options:

• The Definition of a Right Angle is about an angle measuring 90 degrees, which is not relevant here.
• The Definition of an Angle Bisector is about an angle being divided into two equal parts, which is not the case here.
• The Complement Theorem is a more general term, but the specific theorem for this situation is the Congruent Complements Theorem.

Answer:

Congruent Complements Theorem