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, ∠KJM = ∠KLM=90°. Given ∠KJC = ∠MLC. Since ∠KLC + ∠MLC=90° (because ∠KLM = 90°) and ∠KJC = ∠MLC, then ∠KLC + ∠KJC = 90°. Angles that add up to 90° are complementary. The principle used is that angles that are congruent (∠KJC and ∠MLC) are complementary to the same angle (∠KLC).

Answer:

Angles that are congruent are complementary to the same angle.