figure jklm is a rectangle, so m∠kjm = m∠klm = 90° and ∠kjc ≅∠mlc. which reason justifies the statement that…

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.

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.

Answer

Brief Explanations:

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

Answer:

Angles that are congruent are complementary to the same angle.