# Which reason justifies the statement that klc is complementary to kjc?

Which reason justifies the statement that klc is complementary to kjc?

$Which reason justifies the statement that klc is complementary to kjc?$

## This Post Has 10 Comments

1. gonzalezashley152 says:

we know that

m∠KJM=m∠KLM=$90$°

m∠KJC=m∠MLC -----> equation $1$

m∠KJM=m∠KJC+m∠CJM=$90$° -----> equation $2$

m∠KLM=m∠KLC+m∠MLC=$90$° -----> equation $3$

Substitute equation $1$ in equation $3$

So

m∠KLM=m∠KLC+[m∠KJC]=$90$°

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

therefore

Angles that are congruent are complementary to the same angle

2. LikeIke2859 says:

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).

3. sampurple123 says:

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 $90\°$

$m<KJM=m<KLM=90\°$

$m<KJC=m<MLC$ -----> equation A

$m<KJM=m<KJC+m<CJM$

so

$m<KJC+m<CJM=90\°$ -----> equation B

$m<KLM=m<KLC+m<MLC$

so

$m<KLC+m<MLC=90\°$ -----> equation C

Substitute equation A in equation C

So

$m<KLC+[m<KJC]=90\°$

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

therefore

Angles that are congruent are complementary to the same angle

$Figure jklm is a rectangle, so mkjm = mklm = 90° and kjc mlc. which reason justifies the statement t$

4. marieknight689 says:

a) Angles that are congruent are complementary to the same angle

Step-by-step explanation:

Considering the figure attached:

Two angles are complementary if their sum is 90°

given that :

∠KJM = ∠KLM = 90° --- (1)

∠KJC ≅ ∠MLC

⇒ ∠KJC = ∠MLC ---- (2)

∠KJM = ∠KJC + ∠CJM

so by (1) above eq becomes

∠KJC + ∠CJM =  90° --- (3)

Similarly for ∠KLM

∠KLM = ∠KLC + ∠MLC

∠KLC + ∠MLC = 90° ---- (4)

Substitute (2) in (4)

∠KLC + ∠KJC = 90°

Which proves that ∠KLC and ∠KJC are complementary angles

So,

Angles that are congruent are complementary to the same angle

$Figure jklm is a rectangle, so mkjm = mklm = 90° and kjc mlc.which reason justifies the statement th$

5. chancler says:

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 $90\°$

$m<KJM=m<KLM=90\°$

$m<KJC=m<MLC$ -----> equation A

$m<KJM=m<KJC+m<CJM$

so

$m<KJC+m<CJM=90\°$ -----> equation B

$m<KLM=m<KLC+m<MLC$

so

$m<KLC+m<MLC=90\°$ -----> equation C

Substitute equation A in equation C

So

$m<KLC+[m<KJC]=90\°$

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

therefore

Angles that are congruent are complementary to the same angle

$Which reason justifies the statement that klc is complementary to kjc?$

6. thajaalalqo says:

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

7. Pizzapegasus1 says:

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

$Which reason justifies the statement that klc is complementary to kjc? angles that are congruent ar$

8. karlamiddleschool says:

Angles that are congruent are complementary to the same angle

Step-by-step explanation:

we know that

Two angles are complementary if their sum is equal to $90\°$

$m<KJM=m<KLM=90\°$

$m<KJC=m<MLC$ -----> equation A

$m<KJM=m<KJC+m<CJM$

so

$m<KJC+m<CJM=90\°$ -----> equation B

$m<KLM=m<KLC+m<MLC$

so

$m<KLC+m<MLC=90\°$ -----> equation C

Substitute equation A in equation C

So

$m<KLC+[m<KJC]=90\°$

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

therefore

Angles that are congruent are complementary to the same angle

9. alex7078 says:

Where is the question

10. Smitheyyy973 says:

Angles that are congruent are complementary to the same angle.

Step-by-step explanation: