Question

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

Answer 1

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 $90\°$

$m$

$m$ -----> equation A

$m$

so

$m$ -----> equation B

$m$

so

$m$ -----> equation C

Substitute equation A in equation C

So

$m$

That means------> angles ∠KLC and ∠KJC------> are complementary angles

therefore

Angles that are congruent are complementary to the same angle