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 = 90°. Since ∠KJC and ∠KLC are parts of right - angled regions at J and L respectively and ∠KJC≅∠MLC, and ∠KLC + ∠MLC= 90° (right - angle at L), ∠KLC is complementary to ∠KJC because angles that are congruent (∠KJC≅∠MLC) are complementary to the same angle (∠KLC).

Answer:

Angles that are congruent are complementary to the same angle.