This Post Has 10 Comments

1. 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

   Reply

2. 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).

   Reply

3. 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

   the answer is

   Angles that are congruent are complementary to the same angle

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

   Reply

4. 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

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

   Reply

5. 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

   [tex]Which reason justifies the statement that klc is complementary to kjc?[/tex]

   Reply

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

   Reply

7. 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[/tex]

   [tex]m[/tex] -----> equation A

   [tex]m[/tex]

   so

   [tex]m[/tex] -----> equation B

   [tex]m[/tex]

   so

   [tex]m[/tex] -----> equation C

   Substitute equation A in equation C

   So

   [tex]m[/tex]

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

   therefore

   the answer is

   Angles that are congruent are complementary to the same angle

   [tex]Which reason justifies the statement that klc is complementary to kjc? angles that are congruent ar[/tex]

   Reply

8. 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 [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

   Reply

9. Where is the question

   Reply

10. Angles that are congruent are complementary to the same angle.

    Step-by-step explanation:

    Reply