Mathematics

Question

I need #8 done (Show work) will mark brainliest
I need #8 done (Show work) will mark brainliest

2 Answer

  • Answer:

    see explanation

    Step-by-step explanation:

    Since BD bisects ∠ ABC , then

    ∠ ABD = ∠ DBC , substitute values

    3x + 4 = 55 ( subtract 4 from both sides )

    3x = 51 ( divide both sides by 3 )

    x = 17

  • Step-by-step explanation:

    Statement                                          Reason

    BD bisects ∠ABC                              Given

    m∠ABD = (3x + 4)°, m∠DBC = 55°    Given

    ∠ABD ≅ ∠DBC                                  Definition of angle bisector

    3x + 4 = 55                                         Definition of congruence

    3x = 51                                                Subtraction property

    x = 51/3                                               Division property

    x = 17                                                   Proved

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