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True [87]
3 years ago
8

HELPPP PLEASE I NEED THIS BY FRIDAYYYYY!!!!

Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

<ABD = 44

<DBC = 44

<ABC = 88

Step-by-step explanation:

If an angle bisects another, then the two resulting angles are equal

In this case <ABC is bisected by BD

which means that

<ABD = <DBC

so

6x + 14 = 3x + 29

simplify and solve using inverse operations

6x + 14 = 3x + 29

-3x    -14  -3x   -14

3x = 15

/3    /3

x = 5

now substitute into the given values

< ABD = 6x + 14

             = 5 * 6 + 14

             = 30 + 14

             = 44

<DBC = 3x + 29

         = 5 * 3 + 29

         = 15 + 29

         = 44

< ABC = <ABD + <DBC

<ABC = 44 + 44

          = 88

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