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 supplementary to the same angle. complementary angles are always also congruent. all angles in a rectangle are right angles. angles that are congruent are complementary to the same angle.

Explanation:

Since $\angle KLM = 90^{\circ}$ in rectangle $JKLM$ and $\angle KJC\cong\angle MLC$, and $\angle KLC+\angle MLC = 90^{\circ}$, then $\angle KLC$ is complementary to $\angle KJC$ because angles that are congruent ($\angle KJC$ and $\angle MLC$) are complementary to the same angle ($\angle KLC$).

Answer:

Angles that are congruent are complementary to the same angle.