Question

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Answer 1

Answer:

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:

$\frac{-4x}{-4}=\frac{-24}{-4}$

$x=6$

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

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

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

Answer 2

Answer:

m<ABD= 6

m<CBD= -18

m<ABC= -108

Step-by-step explanation: