Answer:
Angles that are congruent are complementary to the same angle
Step-by-step explanation:
see that attached figure to better understand the problem
we know that
Two angles are complementary if their sum is equal to [tex]90\°[/tex]
[tex]m<KJM=m<KLM=90\°[/tex]
[tex]m<KJC=m<MLC[/tex] -----> equation A
[tex]m<KJM=m<KJC+m<CJM[/tex]
so
[tex]m<KJC+m<CJM=90\°[/tex] -----> equation B
[tex]m<KLM=m<KLC+m<MLC[/tex]
so
[tex]m<KLC+m<MLC=90\°[/tex] -----> equation C
Substitute equation A in equation C
So
[tex]m<KLC+[m<KJC]=90\°[/tex]
That means------> angles ∠KLC and ∠KJC------> are complementary angles
therefore
Angles that are congruent are complementary to the same angle
