Question

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Answer 1

m<ABD= 6

m<CBD= -18

m<ABC= -108

Explanation:

Answer 2

Since BD bisects Angle ABC, Angle ABD = Angle DBC

`3x+6=7x-18`

Subtract 6 from both sides:

`3x+6-6=7x-18-6`

`3x=7x-24`

Subtract 7x from both sides:

`3x-7x=7x-24-7x`

`-4x=-24`

Divide both sides by -4:

`(-4x)/(-4)=(-24)/(-4)`

`x=6`

Angle
`ABD=3x+6=3(6)+6=18+6=24`

Angle
`CBD=7x-18=7(6)-18=42-18=24`

Angle
`ABC=ABD+CBD=24+24=48`