Which reason justifies the statement that KLC is complementary to KJC?

we know that
m∠KJM=m∠KLM=[tex] 90 [/tex]°
m∠KJC=m∠MLC -----> equation [tex] 1 [/tex]
m∠KJM=m∠KJC+m∠CJM=[tex] 90 [/tex]° -----> equation [tex] 2 [/tex]
m∠KLM=m∠KLC+m∠MLC=[tex] 90 [/tex]° -----> equation [tex] 3 [/tex]
Substitute equation [tex] 1 [/tex] in equation [tex] 3 [/tex]
So
m∠KLM=m∠KLC+[m∠KJC]=[tex] 90 [/tex]°
angles ∠KLC and ∠KJC------> are complementary angles
therefore
the answer is
Angles that are congruent are complementary to the same angle