Skip to content

  • Home
  • Mathematics
  • English
  • History
  • Chemistry
  • Biology
  • Law
  • Medicine
  • Business
  • Toggle search form

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

Posted on October 23, 2021 By mobete 10 Comments on Which reason justifies the statement that klc is complementary to kjc?

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


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

Mathematics

Post navigation

Previous Post: Find the point of trisection of the line segment AB, where A (-6, 11) and B (10, -3).
Next Post: What is the efective study habitsanswer plss

Comments (10) on “Which reason justifies the statement that klc is complementary to kjc?”

  1. gonzalezashley152 says:
    October 23, 2021 at 7:18 am

    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. LikeIke2859 says:
    October 23, 2021 at 8:33 am

    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. sampurple123 says:
    October 23, 2021 at 1:55 pm

    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. marieknight689 says:
    October 23, 2021 at 3:17 pm

    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. chancler says:
    October 23, 2021 at 5:28 pm

    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. thajaalalqo says:
    October 23, 2021 at 6:23 pm

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

    Reply
  7. Pizzapegasus1 says:
    October 23, 2021 at 8:00 pm

    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. karlamiddleschool says:
    October 23, 2021 at 10:35 pm

    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. alex7078 says:
    October 23, 2021 at 11:50 pm

    Where is the question

    Reply
  10. Smitheyyy973 says:
    October 24, 2021 at 12:14 am

    Angles that are congruent are complementary to the same angle.

    Step-by-step explanation:

    Reply

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Categories

  • Advanced Placement (AP)
  • Arts
  • Biology
  • Business
  • Chemistry
  • Computers and Technology
  • Engineering
  • English
  • French
  • Geography
  • German
  • Health
  • History
  • Law
  • Mathematics
  • Medicine
  • Physics
  • SAT
  • Social Studies
  • Spanish
  • World Languages

© 2021 studyqas

Powered by PressBook WordPress theme