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]

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  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

  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).

  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]

  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]

  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]

  6. 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]

  7. 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

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