Question

prove the congruent complements theorem. if two angles are complements of the same angle, then the two angles are congruent. given: ∠1 and ∠2 are complementary ∠3 and ∠2 are complementary. choose the correct statement of what is to be proved. prove: ∠1≅∠3 proof: ∠1 and ∠2 are complementary and ∠3 and ∠2 are complementary because it is given. by the definition of complementary angles, m∠1 + m∠2 = 90° and m∠3 + m∠2 = 90°. then, m∠1 + m∠2 = m∠3 + m∠2 by the transitive property of equality. subtract m∠2 from each side. by the subtraction property of equality, m∠1 = m∠3. angles with the same measure are

Explanation:

Step1: Recall angle - congruence definition

By definition, angles with the same measure are congruent.

Answer:

congruent