Ray Bd Bisects Angle Abc

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Question 642998: In a diagram, ray BD bisects angle ABC. Discover m for angle ABC. Bending ABD is represented by (ten/two + 17)� and angle DBC is represented by (x - 33)�
I believe the correct respond is 134� only I don't know how to show the work. Tin can you help please?
Thank you!
Answer by MathTherapy(10149) (Show Source):
You can put this solution on YOUR website!

In a diagram, ray BD bisects angle ABC. Find 1000 for angle ABC. Bending ABD is represented by (x/ii + 17)� and angle DBC is represented by (x - 33)�
I believe the correct respond is 134� but I don't know how to evidence the work. Can you aid please?
Thanks!
The diagram can't be viewed considering you didn't send it. Anyway, it'due south pretty clear the way you described information technology. Since BD bisects angle ABC, then angle ABD = angle DBC.

ten + 34 = 2x - 66 ------ Multiplying the eq by LCD, ii

x - 2x = - 66 - 34

- x = - 100

x = , or 100�

Each angle = x - 33, or 100 - 33, or , so both angles, or angle ABC = 2(67), or

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