Question

figure jklm is a rectangle, so ( mangle kjm=mangle klm = 90^{circ} ) and ( angle kjccongangle mlc ). which reason justifies the statement that ( angle klc ) is complementary to ( angle 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. brainly search

Explanation:

Since \( \angle KJC\cong\angle MLC\) (given) and \( \angle KLC+\angle MLC = 90^{\circ}\) (because \( \angle KLM = 90^{\circ}\) in rectangle \(JKLM\)), by substituting \( \angle MLC\) with \( \angle KJC\) (congruent angles have equal measures), we get \( \angle KLC+\angle KJC=90^{\circ}\). The property "Angles that are congruent are complementary to the same angle" is used. If \( \angle A\cong\angle B\) and \( \angle A+\angle C = 90^{\circ}\), then \( \angle B+\angle C=90^{\circ}\).

Answer:

Angles that are congruent are complementary to the same angle.