Question

Figure JKLM is a rectangle, so mKJM = mKLM = 90° and KJC MLC. Which reason justifies the statement that KLC is complementary to KJC?

Answer 1

Angles that are congruent are complementary to the same angle. Is the correct answer A

Answer 2

Complementary angles are angles that sum up to 90°

We know that:
1- MLC=KJC.
2- KLM=90.

KLM is composed of KLC and MLC.
This means that:
KLC+MLC=90°

Since MLC=KJC, we can write this as KLC+KJC=90°.
This is the definition of complementary (two angles whose sum is 90 degrees).