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

Question
Answer:
Answer:Angles that are congruent are complementary to the same angleStep-by-step explanation:see that attached figure to better understand the problemwe know thatTwo 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 CSubstitute equation A in equation CSo[tex]m<KLC+[m<KJC]=90\°[/tex]That means------> angles ∠KLC and ∠KJC------> are complementary anglesthereforeAngles that are congruent are complementary to the same angle
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general 4 months ago 2055