Question

figure jklm is a rectangle, so m∠kjm = m∠klm = 90° and ∠kjc ≅∠mlc. which reason justifies the statement that ∠klc is complementary to ∠kjc? angles that are congruent are complementary to the same angle. angles that are congruent are supplementary to the same angle. all angles in a rectangle are right angles. complementary angles are always also congruent.

Explanation:

In rectangle JKLM, $\angle KLM = 90^{\circ}$. Since $\angle KLM=\angle KLC+\angle MLC$ and $\angle KJC\cong\angle MLC$, we know that $\angle KLC+\angle KJC = 90^{\circ}$ because angles that are congruent are complementary to the same angle.

Answer:

Angles that are congruent are complementary to the same angle.